68180580 has 72 divisors (see below), whose sum is σ = 222730872. Its totient is φ = 16782336.

The previous prime is 68180573. The next prime is 68180627. The reversal of 68180580 is 8508186.

68180580 is a `hidden beast` number, since 68 + 18 + 0 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9290304 + 58890276 = 3048^2 + 7674^2 .

It is a super-3 number, since 3×68180580³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 12229 + ... + 16908.

Almost surely, 2^68180580 is an apocalyptic number.

68180580 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68180580 is an abundant number, since it is smaller than the sum of its proper divisors (154550292).

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

68180580 is a wasteful number, since it uses less digits than its factorization.

68180580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29165 (or 29160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 68180580 is about 8257.1532624749. The cubic root of 68180580 is about 408.5264973446.

The spelling of 68180580 in words is "sixty-eight million, one hundred eighty thousand, five hundred eighty".