64800960 has 112 divisors (see below), whose sum is σ = 235159296. Its totient is φ = 14810112.

The previous prime is 64800941. The next prime is 64800961. The reversal of 64800960 is 6900846.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (64800961) 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, 1899 + ... + 11541.

Almost surely, 2^64800960 is an apocalyptic number.

64800960 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 64800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117579648).

64800960 is an abundant number, since it is smaller than the sum of its proper divisors (170358336).

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

64800960 is a wasteful number, since it uses less digits than its factorization.

64800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 64800960 is about 8049.9043472578. The cubic root of 64800960 is about 401.6617535445.

The spelling of 64800960 in words is "sixty-four million, eight hundred thousand, nine hundred sixty".