88182864 has 240 divisors, whose sum is σ = 319285120. Its totient is φ = 22809600.

The previous prime is 88182863. The next prime is 88182869. The reversal of 88182864 is 46828188.

It is a happy number.

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 (88182863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365784 + ... + 366024.

Almost surely, 2^88182864 is an apocalyptic number.

88182864 is a gapful number since it is divisible by the number (84) 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 88182864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159642560).

88182864 is an abundant number, since it is smaller than the sum of its proper divisors (231102256).

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

88182864 is a wasteful number, since it uses less digits than its factorization.

88182864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 264 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 88182864 is about 9390.5731454475. The cubic root of 88182864 is about 445.1039003277.

The spelling of 88182864 in words is "eighty-eight million, one hundred eighty-two thousand, eight hundred sixty-four".