64506960 has 120 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 14743296.

The previous prime is 64506931. The next prime is 64506971. The reversal of 64506960 is 6960546.

It is a happy number.

64506960 is a `hidden beast` number, since 64 + 506 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×64506960² = 8322295776883200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (2063360).

Almost surely, 2^64506960 is an apocalyptic number.

64506960 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 64506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

64506960 is an abundant number, since it is smaller than the sum of its proper divisors (183096240).

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

64506960 is a wasteful number, since it uses less digits than its factorization.

64506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12816 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 64506960 is about 8031.6225010891. The cubic root of 64506960 is about 401.0533901545.

The spelling of 64506960 in words is "sixty-four million, five hundred six thousand, nine hundred sixty".