90866073600 has 405 divisors, whose sum is σ = 327578940507. Its totient is φ = 24076615680.

The previous prime is 90866073583. The next prime is 90866073671. The reversal of 90866073600 is 637066809.

The square root of 90866073600 is 301440.

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

90866073600 is a `hidden beast` number, since 9 + 0 + 8 + 6 + 607 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10989748224 + 79876325376 = 104832^2 + 282624^2 .

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, 578764722 + ... + 578764878.

Almost surely, 2^90866073600 is an apocalyptic number.

90866073600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90866073600 is the 301440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90866073600

90866073600 is an abundant number, since it is smaller than the sum of its proper divisors (236712866907).

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

90866073600 is an equidigital number, since it uses as much as digits as its factorization.

90866073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90866073600 in words is "ninety billion, eight hundred sixty-six million, seventy-three thousand, six hundred".