88832000 has 96 divisors (see below), whose sum is σ = 222309360. Its totient is φ = 35430400.

The previous prime is 88831997. The next prime is 88832027. The reversal of 88832000 is 23888.

It is a super-2 number, since 2×88832000² = 15782248448000000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255827 + ... + 256173.

Almost surely, 2^88832000 is an apocalyptic number.

88832000 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 88832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111154680).

88832000 is an abundant number, since it is smaller than the sum of its proper divisors (133477360).

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

88832000 is an equidigital number, since it uses as much as digits as its factorization.

88832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 88832000 is about 9425.0729440148. The cubic root of 88832000 is about 446.1934048280.

Adding to 88832000 its reverse (23888), we get a palindrome (88855888).

The spelling of 88832000 in words is "eighty-eight million, eight hundred thirty-two thousand".