66948120 has 80 divisors (see below), whose sum is σ = 225030960. Its totient is φ = 17851968.

The previous prime is 66948109. The next prime is 66948143. The reversal of 66948120 is 2184966.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7092 + ... + 13571.

It is an arithmetic number, because the mean of its divisors is an integer number (2812887).

Almost surely, 2^66948120 is an apocalyptic number.

66948120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66948120 is an abundant number, since it is smaller than the sum of its proper divisors (158082840).

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

66948120 is a wasteful number, since it uses less digits than its factorization.

66948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20686 (or 20673 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 66948120 is about 8182.1830827720. The cubic root of 66948120 is about 406.0499505789.

The spelling of 66948120 in words is "sixty-six million, nine hundred forty-eight thousand, one hundred twenty".