64414560 has 192 divisors, whose sum is σ = 244339200. Its totient is φ = 13934592.

The previous prime is 64414529. The next prime is 64414561. The reversal of 64414560 is 6541446.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64414561) 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, 63336 + ... + 64344.

It is an arithmetic number, because the mean of its divisors is an integer number (1272600).

Almost surely, 2^64414560 is an apocalyptic number.

64414560 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 64414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169600).

64414560 is an abundant number, since it is smaller than the sum of its proper divisors (179924640).

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

64414560 is a wasteful number, since it uses less digits than its factorization.

64414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 64414560 is about 8025.8681773376. The cubic root of 64414560 is about 400.8618085482.

The spelling of 64414560 in words is "sixty-four million, four hundred fourteen thousand, five hundred sixty".