88634880 has 120 divisors (see below), whose sum is σ = 307047312. Its totient is φ = 23629824.

The previous prime is 88634851. The next prime is 88634881. The reversal of 88634880 is 8843688.

88634880 is a `hidden beast` number, since 8 + 8 + 634 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×88634880² = 15712283905228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88634881) 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, 21117 + ... + 24963.

Almost surely, 2^88634880 is an apocalyptic number.

88634880 is a gapful number since it is divisible by the number (80) 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 88634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153523656).

88634880 is an abundant number, since it is smaller than the sum of its proper divisors (218412432).

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

88634880 is a wasteful number, since it uses less digits than its factorization.

88634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 88634880 is about 9414.6099228805. The cubic root of 88634880 is about 445.8631230180.

The spelling of 88634880 in words is "eighty-eight million, six hundred thirty-four thousand, eight hundred eighty".