64038720 has 112 divisors (see below), whose sum is σ = 208410048. Its totient is φ = 16650240.

The previous prime is 64038719. The next prime is 64038791. The reversal of 64038720 is 2783046.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38547 + ... + 40173.

It is an arithmetic number, because the mean of its divisors is an integer number (1860804).

Almost surely, 2^64038720 is an apocalyptic number.

64038720 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 64038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104205024).

64038720 is an abundant number, since it is smaller than the sum of its proper divisors (144371328).

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

64038720 is a wasteful number, since it uses less digits than its factorization.

64038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 64038720 is about 8002.4196340857. The cubic root of 64038720 is about 400.0806504044.

The spelling of 64038720 in words is "sixty-four million, thirty-eight thousand, seven hundred twenty".