90560068624 has 45 divisors (see below), whose sum is σ = 183476608959. Its totient is φ = 43298096160.

The previous prime is 90560068597. The next prime is 90560068639. The reversal of 90560068624 is 42686006509.

The square root of 90560068624 is 300932.

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

It is a super-2 number, since 2×90560068624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27684109 + ... + 27687379.

Almost surely, 2^90560068624 is an apocalyptic number.

90560068624 is the 300932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90560068624

90560068624 is an abundant number, since it is smaller than the sum of its proper divisors (92916540335).

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

90560068624 is an frugal number, since it uses more digits than its factorization.

90560068624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 90560068624 in words is "ninety billion, five hundred sixty million, sixty-eight thousand, six hundred twenty-four".