96259968 has 256 divisors, whose sum is σ = 340761600. Its totient is φ = 26155008.

The previous prime is 96259951. The next prime is 96259973. The reversal of 96259968 is 86995269.

96259968 is a `hidden beast` number, since 9 + 625 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×96259968² = 18531962878722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556330 + ... + 556502.

It is an arithmetic number, because the mean of its divisors is an integer number (1331100).

Almost surely, 2^96259968 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 96259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170380800).

96259968 is an abundant number, since it is smaller than the sum of its proper divisors (244501632).

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

96259968 is a wasteful number, since it uses less digits than its factorization.

96259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 96259968 is about 9811.2164383424. The cubic root of 96259968 is about 458.2986426489.

The spelling of 96259968 in words is "ninety-six million, two hundred fifty-nine thousand, nine hundred sixty-eight".