61057560 has 64 divisors (see below), whose sum is σ = 185263200. Its totient is φ = 16096256.

The previous prime is 61057519. The next prime is 61057567. The reversal of 61057560 is 6575016.

It is a super-3 number, since 3×61057560³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61057567) 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, 7822 + ... + 13538.

Almost surely, 2^61057560 is an apocalyptic number.

61057560 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 61057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92631600).

61057560 is an abundant number, since it is smaller than the sum of its proper divisors (124205640).

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

61057560 is a wasteful number, since it uses less digits than its factorization.

61057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 61057560 is about 7813.9337084467. The cubic root of 61057560 is about 393.7734962043.

The spelling of 61057560 in words is "sixty-one million, fifty-seven thousand, five hundred sixty".