61730928 has 120 divisors (see below), whose sum is σ = 201796608. Its totient is φ = 17248896.

The previous prime is 61730899. The next prime is 61730941. The reversal of 61730928 is 82903716.

61730928 is a `hidden beast` number, since 617 + 30 + 9 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61730892 and 61730901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46725 + ... + 48027.

Almost surely, 2^61730928 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 61730928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100898304).

61730928 is an abundant number, since it is smaller than the sum of its proper divisors (140065680).

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

61730928 is a wasteful number, since it uses less digits than its factorization.

61730928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 61730928 is about 7856.9032067348. The cubic root of 61730928 is about 395.2157727263.

The spelling of 61730928 in words is "sixty-one million, seven hundred thirty thousand, nine hundred twenty-eight".