87044400 has 90 divisors (see below), whose sum is σ = 302080740. Its totient is φ = 23210880.

The previous prime is 87044383. The next prime is 87044401. The reversal of 87044400 is 444078.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (87044401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8490 + ... + 15689.

Almost surely, 2^87044400 is an apocalyptic number.

87044400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87044400 is an abundant number, since it is smaller than the sum of its proper divisors (215036340).

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

87044400 is a wasteful number, since it uses less digits than its factorization.

87044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24203 (or 24189 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 87044400 is about 9329.7588393270. The cubic root of 87044400 is about 443.1801280911.

Adding to 87044400 its reverse (444078), we get a palindrome (87488478).

The spelling of 87044400 in words is "eighty-seven million, forty-four thousand, four hundred".