64129980 has 48 divisors (see below), whose sum is σ = 187375104. Its totient is φ = 16357440.

The previous prime is 64129951. The next prime is 64129987. The reversal of 64129980 is 8992146.

It is a super-3 number, since 3×64129980³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64129987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21856 + ... + 24615.

It is an arithmetic number, because the mean of its divisors is an integer number (3903648).

Almost surely, 2^64129980 is an apocalyptic number.

64129980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64129980 is an abundant number, since it is smaller than the sum of its proper divisors (123245124).

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

64129980 is a wasteful number, since it uses less digits than its factorization.

64129980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46506 (or 46504 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 64129980 is about 8008.1196294761. The cubic root of 64129980 is about 400.2706085529.

The spelling of 64129980 in words is "sixty-four million, one hundred twenty-nine thousand, nine hundred eighty".