89968256 has 32 divisors (see below), whose sum is σ = 204840480. Its totient is φ = 38557440.

The previous prime is 89968253. The next prime is 89968259. The reversal of 89968256 is 65286998.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89968253) and next prime (89968259).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 89968198 and 89968207.

It is not an unprimeable number, because it can be changed into a prime (89968253) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49310 + ... + 51101.

It is an arithmetic number, because the mean of its divisors is an integer number (6401265).

Almost surely, 2^89968256 is an apocalyptic number.

It is an amenable number.

89968256 is an abundant number, since it is smaller than the sum of its proper divisors (114872224).

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

89968256 is a wasteful number, since it uses less digits than its factorization.

89968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100432 (or 100420 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 89968256 is about 9485.1597772520. The cubic root of 89968256 is about 448.0877804184.

The spelling of 89968256 in words is "eighty-nine million, nine hundred sixty-eight thousand, two hundred fifty-six".