66796920 has 128 divisors (see below), whose sum is σ = 224870400. Its totient is φ = 17635968.

The previous prime is 66796843. The next prime is 66796957. The reversal of 66796920 is 2969766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136917 + ... + 137403.

It is an arithmetic number, because the mean of its divisors is an integer number (1756800).

Almost surely, 2^66796920 is an apocalyptic number.

66796920 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 66796920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112435200).

66796920 is an abundant number, since it is smaller than the sum of its proper divisors (158073480).

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

66796920 is a wasteful number, since it uses less digits than its factorization.

66796920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 66796920 is about 8172.9382721271. The cubic root of 66796920 is about 405.7440369356.

The spelling of 66796920 in words is "sixty-six million, seven hundred ninety-six thousand, nine hundred twenty".