88484832 has 96 divisors (see below), whose sum is σ = 263692800. Its totient is φ = 28854144.

The previous prime is 88484807. The next prime is 88484857. The reversal of 88484832 is 23848488.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88484807) and next prime (88484857).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39519 + ... + 41697.

It is an arithmetic number, because the mean of its divisors is an integer number (2746800).

Almost surely, 2^88484832 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 88484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131846400).

88484832 is an abundant number, since it is smaller than the sum of its proper divisors (175207968).

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

88484832 is a wasteful number, since it uses less digits than its factorization.

88484832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2231 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 88484832 is about 9406.6376564637. The cubic root of 88484832 is about 445.6113836836.

The spelling of 88484832 in words is "eighty-eight million, four hundred eighty-four thousand, eight hundred thirty-two".