60648000 has 336 divisors, whose sum is σ = 241547904. Its totient is φ = 13132800.

The previous prime is 60647999. The next prime is 60648011. The reversal of 60648000 is 84606.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3191991 + ... + 3192009.

Almost surely, 2^60648000 is an apocalyptic number.

60648000 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 60648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120773952).

60648000 is an abundant number, since it is smaller than the sum of its proper divisors (180899904).

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

60648000 is a wasteful number, since it uses less digits than its factorization.

60648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 60648000 is about 7787.6825821293. The cubic root of 60648000 is about 392.8910730238.

The spelling of 60648000 in words is "sixty million, six hundred forty-eight thousand".