61536984 has 64 divisors (see below), whose sum is σ = 160496640. Its totient is φ = 19639680.

The previous prime is 61536967. The next prime is 61536997. The reversal of 61536984 is 48963516.

It is a nialpdrome in base 13.

It is a congruent number.

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, 79222 + ... + 79994.

It is an arithmetic number, because the mean of its divisors is an integer number (2507760).

Almost surely, 2^61536984 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 61536984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80248320).

61536984 is an abundant number, since it is smaller than the sum of its proper divisors (98959656).

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

61536984 is a wasteful number, since it uses less digits than its factorization.

61536984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 61536984 is about 7844.5512299940. The cubic root of 61536984 is about 394.8014469716.

The spelling of 61536984 in words is "sixty-one million, five hundred thirty-six thousand, nine hundred eighty-four".