88932480 has 256 divisors, whose sum is σ = 349574400. Its totient is φ = 18726912.

The previous prime is 88932479. The next prime is 88932499. The reversal of 88932480 is 8423988.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174466 + ... + 174974.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 2^88932480 is an apocalyptic number.

88932480 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 88932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174787200).

88932480 is an abundant number, since it is smaller than the sum of its proper divisors (260641920).

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

88932480 is a wasteful number, since it uses less digits than its factorization.

88932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 88932480 is about 9430.4019002373. The cubic root of 88932480 is about 446.3615747812.

The spelling of 88932480 in words is "eighty-eight million, nine hundred thirty-two thousand, four hundred eighty".