66748920 has 128 divisors (see below), whose sum is σ = 230515200. Its totient is φ = 15146496.

The previous prime is 66748909. The next prime is 66748973. The reversal of 66748920 is 2984766.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 192187 + ... + 192533.

It is an arithmetic number, because the mean of its divisors is an integer number (1800900).

Almost surely, 2^66748920 is an apocalyptic number.

66748920 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 66748920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115257600).

66748920 is an abundant number, since it is smaller than the sum of its proper divisors (163766280).

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

66748920 is a wasteful number, since it uses less digits than its factorization.

66748920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 66748920 is about 8170.0012239901. The cubic root of 66748920 is about 405.6468249649.

The spelling of 66748920 in words is "sixty-six million, seven hundred forty-eight thousand, nine hundred twenty".