88643232 has 72 divisors (see below), whose sum is σ = 253090656. Its totient is φ = 29429376.

The previous prime is 88643209. The next prime is 88643237. The reversal of 88643232 is 23234688.

88643232 is a `hidden beast` number, since 8 + 8 + 643 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (88643237) 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, 99493 + ... + 100379.

It is an arithmetic number, because the mean of its divisors is an integer number (3515148).

Almost surely, 2^88643232 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 88643232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126545328).

88643232 is an abundant number, since it is smaller than the sum of its proper divisors (164447424).

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

88643232 is a wasteful number, since it uses less digits than its factorization.

88643232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 88643232 is about 9415.0534783399. The cubic root of 88643232 is about 445.8771270302.

The spelling of 88643232 in words is "eighty-eight million, six hundred forty-three thousand, two hundred thirty-two".