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89870400 = 263252792

89870400 has 189 divisors, whose sum is σ = 323515101. Its totient is φ = 23662080.

The previous prime is 89870377. The next prime is 89870423. The reversal of 89870400 is 407898.

The square root of 89870400 is 9480.

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

It is an interprime number because it is at equal distance from previous prime (89870377) and next prime (89870423).

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 57517056 = 5688^2 + 7584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1137561 + ... + 1137639.

Almost surely, 289870400 is an apocalyptic number.

89870400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89870400 is the 9480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89870400

89870400 is an abundant number, since it is smaller than the sum of its proper divisors (233644701).

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

89870400 is a wasteful number, since it uses less digits than its factorization.

89870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 89870400 is about 447.9252638936.

Multiplying 89870400 by its sum of digits (36), we get a square (3235334400 = 568802).

89870400 divided by its sum of digits (36) gives a square (2496400 = 15802).

It can be divided in two parts, 89 and 870400, that added together give a square (870489 = 9332).

The spelling of 89870400 in words is "eighty-nine million, eight hundred seventy thousand, four hundred".