66632520 has 128 divisors (see below), whose sum is σ = 214617600. Its totient is φ = 16490496.

The previous prime is 66632519. The next prime is 66632521. The reversal of 66632520 is 2523666.

It is an interprime number because it is at equal distance from previous prime (66632519) and next prime (66632521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66632521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181377 + ... + 181743.

It is an arithmetic number, because the mean of its divisors is an integer number (1676700).

Almost surely, 2^66632520 is an apocalyptic number.

66632520 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 66632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107308800).

66632520 is an abundant number, since it is smaller than the sum of its proper divisors (147985080).

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

66632520 is a wasteful number, since it uses less digits than its factorization.

66632520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66632520 is about 8162.8744937062. The cubic root of 66632520 is about 405.4108922405.

The spelling of 66632520 in words is "sixty-six million, six hundred thirty-two thousand, five hundred twenty".