61200792 has 128 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 19160064.

The previous prime is 61200787. The next prime is 61200809. The reversal of 61200792 is 29700216.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481833 + ... + 481959.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^61200792 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 61200792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

61200792 is an abundant number, since it is smaller than the sum of its proper divisors (119432808).

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

61200792 is a wasteful number, since it uses less digits than its factorization.

61200792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61200792 is about 7823.0935057687. The cubic root of 61200792 is about 394.0811671956.

The spelling of 61200792 in words is "sixty-one million, two hundred thousand, seven hundred ninety-two".