88008400 has 30 divisors (see below), whose sum is σ = 211441142. Its totient is φ = 35203200.

The previous prime is 88008397. The next prime is 88008409. The reversal of 88008400 is 480088.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13220496 + 74787904 = 3636^2 + 8648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88008409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109611 + ... + 110410.

Almost surely, 2^88008400 is an apocalyptic number.

88008400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88008400 is an abundant number, since it is smaller than the sum of its proper divisors (123432742).

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

88008400 is a wasteful number, since it uses less digits than its factorization.

88008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220039 (or 220028 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88008400 is about 9381.2792304675. The cubic root of 88008400 is about 444.8101702642.

Adding to 88008400 its reverse (480088), we get a palindrome (88488488).

The spelling of 88008400 in words is "eighty-eight million, eight thousand, four hundred".