61545960 has 192 divisors, whose sum is σ = 238852800. Its totient is φ = 14055552.

The previous prime is 61545949. The next prime is 61545989. The reversal of 61545960 is 6954516.

61545960 is a `hidden beast` number, since 61 + 5 + 4 + 596 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52339 + ... + 53501.

It is an arithmetic number, because the mean of its divisors is an integer number (1244025).

Almost surely, 2^61545960 is an apocalyptic number.

61545960 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 61545960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119426400).

61545960 is an abundant number, since it is smaller than the sum of its proper divisors (177306840).

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

61545960 is a wasteful number, since it uses less digits than its factorization.

61545960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 61545960 is about 7845.1233259905. The cubic root of 61545960 is about 394.8206417456.

The spelling of 61545960 in words is "sixty-one million, five hundred forty-five thousand, nine hundred sixty".