66979080 has 144 divisors (see below), whose sum is σ = 253288620. Its totient is φ = 15305472.

The previous prime is 66979069. The next prime is 66979093. The reversal of 66979080 is 8097966.

It can be written as a sum of positive squares in 2 ways, for example, as 56520324 + 10458756 = 7518^2 + 3234^2 .

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 35 ways as a sum of consecutive naturals, for example, 15742 + ... + 19538.

Almost surely, 2^66979080 is an apocalyptic number.

66979080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66979080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126644310).

66979080 is an abundant number, since it is smaller than the sum of its proper divisors (186309540).

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

66979080 is a wasteful number, since it uses less digits than its factorization.

66979080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 66979080 is about 8184.0747797170. The cubic root of 66979080 is about 406.1125332131.

The spelling of 66979080 in words is "sixty-six million, nine hundred seventy-nine thousand, eighty".