66904980 has 48 divisors (see below), whose sum is σ = 188510784. Its totient is φ = 17729280.

The previous prime is 66904973. The next prime is 66904987. The reversal of 66904980 is 8940966.

It is an interprime number because it is at equal distance from previous prime (66904973) and next prime (66904987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66904987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6360 + ... + 13200.

It is an arithmetic number, because the mean of its divisors is an integer number (3927308).

Almost surely, 2^66904980 is an apocalyptic number.

66904980 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 66904980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94255392).

66904980 is an abundant number, since it is smaller than the sum of its proper divisors (121605804).

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

66904980 is a wasteful number, since it uses less digits than its factorization.

66904980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66904980 is about 8179.5464421935. The cubic root of 66904980 is about 405.9627150761.

The spelling of 66904980 in words is "sixty-six million, nine hundred four thousand, nine hundred eighty".