64078560 has 384 divisors, whose sum is σ = 277724160. Its totient is φ = 13436928.

The previous prime is 64078523. The next prime is 64078577. The reversal of 64078560 is 6587046.

It is a happy number.

64078560 is a `hidden beast` number, since 640 + 7 + 8 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393039 + ... + 393201.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^64078560 is an apocalyptic number.

64078560 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 64078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862080).

64078560 is an abundant number, since it is smaller than the sum of its proper divisors (213645600).

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

64078560 is a wasteful number, since it uses less digits than its factorization.

64078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 64078560 is about 8004.9084941678. The cubic root of 64078560 is about 400.1635997454.

The spelling of 64078560 in words is "sixty-four million, seventy-eight thousand, five hundred sixty".