64124616 has 64 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 20404800.

The previous prime is 64124579. The next prime is 64124617. The reversal of 64124616 is 61642146.

It is a super-2 number, since 2×64124616² = 8223932754294912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64124617) 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, 58231 + ... + 59321.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^64124616 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 64124616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

64124616 is an abundant number, since it is smaller than the sum of its proper divisors (103606584).

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

64124616 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (64124615) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1210).

64124616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 64124616 is about 8007.7847123908. The cubic root of 64124616 is about 400.2594483467.

The spelling of 64124616 in words is "sixty-four million, one hundred twenty-four thousand, six hundred sixteen".