88946016 has 96 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 27922944.

The previous prime is 88945999. The next prime is 88946041. The reversal of 88946016 is 61064988.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×88946016² = 15822787524544512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119341 + ... + 120083.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^88946016 is an apocalyptic number.

88946016 is a gapful number since it is divisible by the number (86) 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 88946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

88946016 is an abundant number, since it is smaller than the sum of its proper divisors (158538144).

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

88946016 is a wasteful number, since it uses less digits than its factorization.

88946016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 88946016 is about 9431.1195517818. The cubic root of 88946016 is about 446.3842198402.

The spelling of 88946016 in words is "eighty-eight million, nine hundred forty-six thousand, sixteen".