868926240 has 576 divisors, whose sum is σ = 3852576000. Its totient is φ = 173187072.

The previous prime is 868926239. The next prime is 868926277. The reversal of 868926240 is 42629868.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489586 + ... + 2489934.

It is an arithmetic number, because the mean of its divisors is an integer number (6688500).

Almost surely, 2^868926240 is an apocalyptic number.

868926240 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 868926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926288000).

868926240 is an abundant number, since it is smaller than the sum of its proper divisors (2983649760).

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

868926240 is a wasteful number, since it uses less digits than its factorization.

868926240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 868926240 is about 29477.5548511066. The cubic root of 868926240 is about 954.2473680485.

The spelling of 868926240 in words is "eight hundred sixty-eight million, nine hundred twenty-six thousand, two hundred forty".