88432000 has 64 divisors (see below), whose sum is σ = 219903840. Its totient is φ = 35366400.

The previous prime is 88431997. The next prime is 88432067. The reversal of 88432000 is 23488.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13237 + ... + 18763.

Almost surely, 2^88432000 is an apocalyptic number.

88432000 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 88432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109951920).

88432000 is an abundant number, since it is smaller than the sum of its proper divisors (131471840).

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

88432000 is an equidigital number, since it uses as much as digits as its factorization.

88432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 88432000 is about 9403.8290073778. The cubic root of 88432000 is about 445.5226783571.

Adding to 88432000 its reverse (23488), we get a palindrome (88455488).

The spelling of 88432000 in words is "eighty-eight million, four hundred thirty-two thousand".