88492400 has 60 divisors (see below), whose sum is σ = 213872472. Its totient is φ = 35185920.

The previous prime is 88492387. The next prime is 88492487. The reversal of 88492400 is 429488.

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 11 ways as a sum of consecutive naturals, for example, 78239 + ... + 79361.

Almost surely, 2^88492400 is an apocalyptic number.

88492400 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 88492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106936236).

88492400 is an abundant number, since it is smaller than the sum of its proper divisors (125380072).

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

88492400 is a wasteful number, since it uses less digits than its factorization.

88492400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 88492400 is about 9407.0399169983. The cubic root of 88492400 is about 445.6240875212.

The spelling of 88492400 in words is "eighty-eight million, four hundred ninety-two thousand, four hundred".