88924900 has 81 divisors (see below), whose sum is σ = 206761723. Its totient is φ = 33193600.

The previous prime is 88924897. The next prime is 88924931. The reversal of 88924900 is 942988.

It is a happy number.

The square root of 88924900 is 9430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37429924 + 51494976 = 6118^2 + 7176^2 .

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2168880 + ... + 2168920.

Almost surely, 2^88924900 is an apocalyptic number.

88924900 is the 9430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88924900

88924900 is an abundant number, since it is smaller than the sum of its proper divisors (117836823).

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

88924900 is a wasteful number, since it uses less digits than its factorization.

88924900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The cubic root of 88924900 is about 446.3488928122.

The spelling of 88924900 in words is "eighty-eight million, nine hundred twenty-four thousand, nine hundred".