62730090 has 96 divisors (see below), whose sum is σ = 168794496. Its totient is φ = 16156800.

The previous prime is 62730067. The next prime is 62730097. The reversal of 62730090 is 9003726.

62730090 is a `hidden beast` number, since 627 + 30 + 0 + 9 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (62730097) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 608979 + ... + 609081.

It is an arithmetic number, because the mean of its divisors is an integer number (1758276).

Almost surely, 2^62730090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62730090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84397248).

62730090 is an abundant number, since it is smaller than the sum of its proper divisors (106064406).

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

62730090 is a wasteful number, since it uses less digits than its factorization.

62730090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 62730090 is about 7920.2329511196. The cubic root of 62730090 is about 397.3366600763.

The spelling of 62730090 in words is "sixty-two million, seven hundred thirty thousand, ninety".