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968660704 = 25113178681
BaseRepresentation
bin111001101111001…
…001011011100000
32111111201001200101
4321233021123200
53440434120304
6240041432144
733001323454
oct7157113340
92444631611
10968660704
11457869140
1223049b654
131258b671b
1492910664
155a0908a4
hex39bc96e0

968660704 has 48 divisors (see below), whose sum is σ = 2087222256. Its totient is φ = 438860800.

The previous prime is 968660687. The next prime is 968660723. The reversal of 968660704 is 407066869.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107244 + ... + 115924.

It is an arithmetic number, because the mean of its divisors is an integer number (43483797).

Almost surely, 2968660704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968660704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043611128).

968660704 is an abundant number, since it is smaller than the sum of its proper divisors (1118561552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968660704 is a wasteful number, since it uses less digits than its factorization.

968660704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9019 (or 9011 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 968660704 is about 31123.3144764500. The cubic root of 968660704 is about 989.4424994310.

The spelling of 968660704 in words is "nine hundred sixty-eight million, six hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 317 352 634 1268 2536 3487 5072 6974 8681 10144 13948 17362 27896 34724 55792 69448 95491 111584 138896 190982 277792 381964 763928 1527856 2751877 3055712 5503754 11007508 22015016 30270647 44030032 60541294 88060064 121082588 242165176 484330352 968660704