61009984 has 112 divisors (see below), whose sum is σ = 149815296. Its totient is φ = 24076800.

The previous prime is 61009979. The next prime is 61010021. The reversal of 61009984 is 48990016.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319329 + ... + 319519.

Almost surely, 2^61009984 is an apocalyptic number.

61009984 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 61009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74907648).

61009984 is an abundant number, since it is smaller than the sum of its proper divisors (88805312).

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

61009984 is a wasteful number, since it uses less digits than its factorization.

61009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 61009984 is about 7810.8888098602. Note that the first 4 decimals coincide. The cubic root of 61009984 is about 393.6711936347.

The spelling of 61009984 in words is "sixty-one million, nine thousand, nine hundred eighty-four".