61839504 has 80 divisors (see below), whose sum is σ = 181684800. Its totient is φ = 20127744.

The previous prime is 61839487. The next prime is 61839511. The reversal of 61839504 is 40593816.

61839504 is a `hidden beast` number, since 618 + 39 + 5 + 0 + 4 = 666.

61839504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16912 + ... + 20240.

It is an arithmetic number, because the mean of its divisors is an integer number (2271060).

Almost surely, 2^61839504 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 61839504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90842400).

61839504 is an abundant number, since it is smaller than the sum of its proper divisors (119845296).

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

61839504 is a wasteful number, since it uses less digits than its factorization.

61839504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 61839504 is about 7863.8097637214. The cubic root of 61839504 is about 395.4473466207.

The spelling of 61839504 in words is "sixty-one million, eight hundred thirty-nine thousand, five hundred four".