61258560 has 112 divisors (see below), whose sum is σ = 212213952. Its totient is φ = 14848000.

The previous prime is 61258541. The next prime is 61258567. The reversal of 61258560 is 6585216.

Added to its reverse (6585216) it gives a triangular number (67843776 = T₁₁₆₄₈).

61258560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61258560² = 7505222346547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61258567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7660 + ... + 13460.

Almost surely, 2^61258560 is an apocalyptic number.

61258560 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 61258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106106976).

61258560 is an abundant number, since it is smaller than the sum of its proper divisors (150955392).

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

61258560 is a wasteful number, since it uses less digits than its factorization.

61258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 61258560 is about 7826.7847804830. The cubic root of 61258560 is about 394.2051205034.

Adding to 61258560 its reverse (6585216), we get a triangular number (67843776 = T₁₁₆₄₈).

The spelling of 61258560 in words is "sixty-one million, two hundred fifty-eight thousand, five hundred sixty".