60984000 has 504 divisors, whose sum is σ = 274039584. Its totient is φ = 12672000.

The previous prime is 60983987. The next prime is 60984031. The reversal of 60984000 is 48906.

It is a tau number, because it is divible by the number of its divisors (504).

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, 5543995 + ... + 5544005.

Almost surely, 2^60984000 is an apocalyptic number.

60984000 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 60984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137019792).

60984000 is an abundant number, since it is smaller than the sum of its proper divisors (213055584).

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

60984000 is a wasteful number, since it uses less digits than its factorization.

60984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 60984000 is about 7809.2253136915. The cubic root of 60984000 is about 393.6152978389.

The spelling of 60984000 in words is "sixty million, nine hundred eighty-four thousand".