89964003600 has 135 divisors (see below), whose sum is σ = 312262547493. Its totient is φ = 23985601920.

The previous prime is 89964003559. The next prime is 89964003677. The reversal of 89964003600 is 630046998.

The square root of 89964003600 is 299940.

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

It can be written as a sum of positive squares in only one way, i.e., 32387041296 + 57576962304 = 179964^2 + 239952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17993901 + ... + 17998899.

Almost surely, 2^89964003600 is an apocalyptic number.

89964003600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89964003600 is the 299940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89964003600

89964003600 is an abundant number, since it is smaller than the sum of its proper divisors (222298543893).

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

89964003600 is an equidigital number, since it uses as much as digits as its factorization.

89964003600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

It can be divided in two parts, 8996400 and 3600, that added together give a square (9000000 = 3000²).

The spelling of 89964003600 in words is "eighty-nine billion, nine hundred sixty-four million, three thousand, six hundred".