61930560 has 112 divisors (see below), whose sum is σ = 203069952. Its totient is φ = 15974400.

The previous prime is 61930543. The next prime is 61930567. The reversal of 61930560 is 6503916.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61930567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28720 + ... + 30800.

Almost surely, 2^61930560 is an apocalyptic number.

61930560 is a gapful number since it is divisible by the number (60) 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 61930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101534976).

61930560 is an abundant number, since it is smaller than the sum of its proper divisors (141139392).

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

61930560 is a wasteful number, since it uses less digits than its factorization.

61930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 61930560 is about 7869.5971942660. The cubic root of 61930560 is about 395.6413444827.

The spelling of 61930560 in words is "sixty-one million, nine hundred thirty thousand, five hundred sixty".