61176960 has 384 divisors, whose sum is σ = 245044800. Its totient is φ = 13934592.

The previous prime is 61176877. The next prime is 61176967. The reversal of 61176960 is 6967116.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61176967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422699 + ... + 1422741.

Almost surely, 2^61176960 is an apocalyptic number.

61176960 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 61176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

61176960 is an abundant number, since it is smaller than the sum of its proper divisors (183867840).

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

61176960 is a wasteful number, since it uses less digits than its factorization.

61176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61176960 is about 7821.5701748434. The cubic root of 61176960 is about 394.0300079355.

The spelling of 61176960 in words is "sixty-one million, one hundred seventy-six thousand, nine hundred sixty".