88242400 has 72 divisors (see below), whose sum is σ = 218517264. Its totient is φ = 34790400.

The previous prime is 88242379. The next prime is 88242409. The reversal of 88242400 is 424288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88242409) by changing a digit.

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, 57645 + ... + 59155.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^88242400 is an apocalyptic number.

88242400 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 88242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109258632).

88242400 is an abundant number, since it is smaller than the sum of its proper divisors (130274864).

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

88242400 is a wasteful number, since it uses less digits than its factorization.

88242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 88242400 is about 9393.7425981341. The cubic root of 88242400 is about 445.2040473145.

Adding to 88242400 its reverse (424288), we get a palindrome (88666688).

It can be divided in two parts, 8 and 8242400, that added together give a cube (8242408 = 202³).

The spelling of 88242400 in words is "eighty-eight million, two hundred forty-two thousand, four hundred".