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868623840 = 2532571737137
BaseRepresentation
bin110011110001100…
…010010111100000
32020112110122220100
4303301202113200
53234331430330
6222105342400
730345116010
oct6361422740
92215418810
10868623840
11406351a47
12202a97a00
1310ac5c206
148350dc40
15513d0060
hex33c625e0

868623840 has 576 divisors, whose sum is σ = 3710738304. Its totient is φ = 180486144.

The previous prime is 868623839. The next prime is 868623841. The reversal of 868623840 is 48326868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (868623839) and next prime (868623841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868623841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6340252 + ... + 6340388.

It is an arithmetic number, because the mean of its divisors is an integer number (6442254).

Almost surely, 2868623840 is an apocalyptic number.

868623840 is a gapful number since it is divisible by the number (80) 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 868623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855369152).

868623840 is an abundant number, since it is smaller than the sum of its proper divisors (2842114464).

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

868623840 is a wasteful number, since it uses less digits than its factorization.

868623840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 868623840 is about 29472.4250783677. The cubic root of 868623840 is about 954.1366575062.

The spelling of 868623840 in words is "eight hundred sixty-eight million, six hundred twenty-three thousand, eight hundred forty".