61658928 has 80 divisors (see below), whose sum is σ = 180390240. Its totient is φ = 20157696.

The previous prime is 61658911. The next prime is 61658951. The reversal of 61658928 is 82985616.

61658928 is a `hidden beast` number, since 61 + 6 + 589 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 21550 + ... + 24242.

It is an arithmetic number, because the mean of its divisors is an integer number (2254878).

Almost surely, 2^61658928 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 61658928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90195120).

61658928 is an abundant number, since it is smaller than the sum of its proper divisors (118731312).

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

61658928 is a wasteful number, since it uses less digits than its factorization.

61658928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 61658928 is about 7852.3199119751. The cubic root of 61658928 is about 395.0620593621.

The spelling of 61658928 in words is "sixty-one million, six hundred fifty-eight thousand, nine hundred twenty-eight".