88400 has 60 divisors (see below), whose sum is σ = 242172. Its totient is φ = 30720.

The previous prime is 88397. The next prime is 88411. The reversal of 88400 is 488.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 85264 = 56^2 + 292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5192 + ... + 5208.

2⁸⁸⁴⁰⁰ is an apocalyptic number.

88400 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 88400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086).

88400 is an abundant number, since it is smaller than the sum of its proper divisors (153772).

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

88400 is a wasteful number, since it uses less digits than its factorization.

88400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 88400 is about 297.3213749464. The cubic root of 88400 is about 44.5468932934.

Adding to 88400 its reverse (488), we get a palindrome (88888).

The spelling of 88400 in words is "eighty-eight thousand, four hundred".