88224864 has 96 divisors (see below), whose sum is σ = 285062400. Its totient is φ = 23265792.

The previous prime is 88224841. The next prime is 88224869. The reversal of 88224864 is 46842288.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (88224869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (2969400).

Almost surely, 2^88224864 is an apocalyptic number.

88224864 is a gapful number since it is divisible by the number (84) 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 88224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142531200).

88224864 is an abundant number, since it is smaller than the sum of its proper divisors (196837536).

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

88224864 is a wasteful number, since it uses less digits than its factorization.

88224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10124 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 88224864 is about 9392.8091644619. The cubic root of 88224864 is about 445.1745542538.

The spelling of 88224864 in words is "eighty-eight million, two hundred twenty-four thousand, eight hundred sixty-four".