61157580 has 96 divisors (see below), whose sum is σ = 196680960. Its totient is φ = 14042880.

The previous prime is 61157573. The next prime is 61157581. The reversal of 61157580 is 8575116.

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

It is not an unprimeable number, because it can be changed into a prime (61157581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10102 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (2048760).

Almost surely, 2^61157580 is an apocalyptic number.

61157580 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 61157580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98340480).

61157580 is an abundant number, since it is smaller than the sum of its proper divisors (135523380).

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

61157580 is a wasteful number, since it uses less digits than its factorization.

61157580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 61157580 is about 7820.3311950326. The cubic root of 61157580 is about 393.9883958206.

It can be divided in two parts, 6115 and 7580, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 61157580 in words is "sixty-one million, one hundred fifty-seven thousand, five hundred eighty".