88914816 has 96 divisors (see below), whose sum is σ = 259365600. Its totient is φ = 29233152.

The previous prime is 88914799. The next prime is 88914817. The reversal of 88914816 is 61841988.

88914816 is a `hidden beast` number, since 88 + 91 + 481 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88914817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90520 + ... + 91496.

It is an arithmetic number, because the mean of its divisors is an integer number (2701725).

Almost surely, 2^88914816 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 88914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129682800).

88914816 is an abundant number, since it is smaller than the sum of its proper divisors (170450784).

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

88914816 is a wasteful number, since it uses less digits than its factorization.

88914816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1061 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 88914816 is about 9429.4653082770. The cubic root of 88914816 is about 446.3320203262.

The spelling of 88914816 in words is "eighty-eight million, nine hundred fourteen thousand, eight hundred sixteen".