60921984 has 64 divisors (see below), whose sum is σ = 164628000. Its totient is φ = 19955712.

The previous prime is 60921983. The next prime is 60921989. The reversal of 60921984 is 48912906.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×60921984³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (60921983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21312 + ... + 24000.

Almost surely, 2^60921984 is an apocalyptic number.

60921984 is a gapful number since it is divisible by the number (64) 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 60921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82314000).

60921984 is an abundant number, since it is smaller than the sum of its proper divisors (103706016).

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

60921984 is a wasteful number, since it uses less digits than its factorization.

60921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 60921984 is about 7805.2536153542. The cubic root of 60921984 is about 393.4818271717.

The spelling of 60921984 in words is "sixty million, nine hundred twenty-one thousand, nine hundred eighty-four".