88624704 has 224 divisors, whose sum is σ = 290267136. Its totient is φ = 23316480.

The previous prime is 88624699. The next prime is 88624709. The reversal of 88624704 is 40742688.

It is an interprime number because it is at equal distance from previous prime (88624699) and next prime (88624709).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (88624709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452834 + ... + 1452894.

Almost surely, 2^88624704 is an apocalyptic number.

88624704 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 88624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133568).

88624704 is an abundant number, since it is smaller than the sum of its proper divisors (201642432).

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

88624704 is a wasteful number, since it uses less digits than its factorization.

88624704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 88624704 is about 9414.0694707443. The cubic root of 88624704 is about 445.8460594692.

The spelling of 88624704 in words is "eighty-eight million, six hundred twenty-four thousand, seven hundred four".