64527120 has 360 divisors, whose sum is σ = 264625920. Its totient is φ = 14031360.

The previous prime is 64527107. The next prime is 64527161. The reversal of 64527120 is 2172546.

64527120 is a `hidden beast` number, since 645 + 2 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093651 + ... + 1093709.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^64527120 is an apocalyptic number.

64527120 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 64527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

64527120 is an abundant number, since it is smaller than the sum of its proper divisors (200098800).

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

64527120 is a wasteful number, since it uses less digits than its factorization.

64527120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 64527120 is about 8032.8774421125. The cubic root of 64527120 is about 401.0951654617.

Adding to 64527120 its product of nonzero digits (3360), we get a triangular number (64530480 = T₁₁₃₆₀).

Adding to 64527120 its reverse (2172546), we get a palindrome (66699666).

The spelling of 64527120 in words is "sixty-four million, five hundred twenty-seven thousand, one hundred twenty".