61839792 has 120 divisors (see below), whose sum is σ = 204272640. Its totient is φ = 17089920.

The previous prime is 61839779. The next prime is 61839797. The reversal of 61839792 is 29793816.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61839797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30259 + ... + 32237.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^61839792 is an apocalyptic number.

61839792 is a gapful number since it is divisible by the number (62) 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 61839792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

61839792 is an abundant number, since it is smaller than the sum of its proper divisors (142432848).

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

61839792 is a wasteful number, since it uses less digits than its factorization.

61839792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2022 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 61839792 is about 7863.8280754350. The cubic root of 61839792 is about 395.4479605144.

The spelling of 61839792 in words is "sixty-one million, eight hundred thirty-nine thousand, seven hundred ninety-two".