64123524 has 72 divisors (see below), whose sum is σ = 177591960. Its totient is φ = 19418112.

The previous prime is 64123513. The next prime is 64123529. The reversal of 64123524 is 42532146.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 62252100 = 1368^2 + 7890^2 .

It is a super-2 number, since 2×64123524² = 8223652660357152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64123529) 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, 15942 + ... + 19554.

It is an arithmetic number, because the mean of its divisors is an integer number (2466555).

Almost surely, 2^64123524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64123524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88795980).

64123524 is an abundant number, since it is smaller than the sum of its proper divisors (113468436).

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

64123524 is a wasteful number, since it uses less digits than its factorization.

64123524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3664 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 64123524 is about 8007.7165284493. The cubic root of 64123524 is about 400.2571762821.

The spelling of 64123524 in words is "sixty-four million, one hundred twenty-three thousand, five hundred twenty-four".