60648800 has 72 divisors (see below), whose sum is σ = 151302816. Its totient is φ = 23728640.

The previous prime is 60648781. The next prime is 60648829. The reversal of 60648800 is 884606.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36794 + ... + 38406.

It is an arithmetic number, because the mean of its divisors is an integer number (2101428).

Almost surely, 2^60648800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75651408).

60648800 is an abundant number, since it is smaller than the sum of its proper divisors (90654016).

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

60648800 is a wasteful number, since it uses less digits than its factorization.

60648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 60648800 is about 7787.7339451216. The cubic root of 60648800 is about 392.8928005415.

The spelling of 60648800 in words is "sixty million, six hundred forty-eight thousand, eight hundred".