90660005604 has 243 divisors, whose sum is σ = 273174646563. Its totient is φ = 25277779296.

The previous prime is 90660005599. The next prime is 90660005627. The reversal of 90660005604 is 40650006609.

It is a happy number.

The square root of 90660005604 is 301098.

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

90660005604 is a `hidden beast` number, since 90 + 6 + 6 + 0 + 0 + 0 + 560 + 4 = 666.

It is a super-3 number, since 3×90660005604³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 847289719 + ... + 847289825.

Almost surely, 2^90660005604 is an apocalyptic number.

90660005604 is the 301098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90660005604

90660005604 is an abundant number, since it is smaller than the sum of its proper divisors (182514640959).

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

90660005604 is a wasteful number, since it uses less digits than its factorization.

90660005604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 90660005604 by its sum of digits (36), we get a square (3263760201744 = 1806588²).

90660005604 divided by its sum of digits (36) gives a square (2518333489 = 50183²).

The spelling of 90660005604 in words is "ninety billion, six hundred sixty million, five thousand, six hundred four".