61545792 has 224 divisors, whose sum is σ = 213018624. Its totient is φ = 15206400.

The previous prime is 61545751. The next prime is 61545793. The reversal of 61545792 is 29754516.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61545792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61545793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339942 + ... + 340122.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^61545792 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 61545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

61545792 is an abundant number, since it is smaller than the sum of its proper divisors (151472832).

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

61545792 is a wasteful number, since it uses less digits than its factorization.

61545792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 61545792 is about 7845.1126186945. The cubic root of 61545792 is about 394.8202825022.

The spelling of 61545792 in words is "sixty-one million, five hundred forty-five thousand, seven hundred ninety-two".