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661128000 = 26353132163
BaseRepresentation
bin100111011010000…
…000001101000000
31201002000210010020
4213122000031000
52323222044000
6145334133440
722245331611
oct4732001500
91632023106
10661128000
1130a20a285
121654b1280
13a6c7c100
1463b39c08
153d094ba0
hex27680340

661128000 has 336 divisors, whose sum is σ = 2378390976. Its totient is φ = 161740800.

The previous prime is 661127983. The next prime is 661128001. The reversal of 661128000 is 821166.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661128001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4055919 + ... + 4056081.

Almost surely, 2661128000 is an apocalyptic number.

661128000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189195488).

661128000 is an abundant number, since it is smaller than the sum of its proper divisors (1717262976).

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

661128000 is a wasteful number, since it uses less digits than its factorization.

661128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 661128000 is about 25712.4094553583. The cubic root of 661128000 is about 871.1544984714.

Adding to 661128000 its reverse (821166), we get a palindrome (661949166).

The spelling of 661128000 in words is "six hundred sixty-one million, one hundred twenty-eight thousand".