66932820 has 72 divisors (see below), whose sum is σ = 213726240. Its totient is φ = 16908480.

The previous prime is 66932819. The next prime is 66932821. The reversal of 66932820 is 2823966.

It is an interprime number because it is at equal distance from previous prime (66932819) and next prime (66932821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66932821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6366 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (2968420).

Almost surely, 2^66932820 is an apocalyptic number.

66932820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66932820 is an abundant number, since it is smaller than the sum of its proper divisors (146793420).

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

66932820 is a wasteful number, since it uses less digits than its factorization.

66932820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19605 (or 19600 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66932820 is about 8181.2480710464. The cubic root of 66932820 is about 406.0190159908.

It can be divided in two parts, 669 and 32820, that added together give a square (33489 = 183²).

The spelling of 66932820 in words is "sixty-six million, nine hundred thirty-two thousand, eight hundred twenty".