61977160 has 96 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 20974464.

The previous prime is 61977151. The next prime is 61977217. The reversal of 61977160 is 6177916.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201727 + ... + 202033.

It is an arithmetic number, because the mean of its divisors is an integer number (1711710).

Almost surely, 2^61977160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

61977160 is an abundant number, since it is smaller than the sum of its proper divisors (102347000).

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

61977160 is a wasteful number, since it uses less digits than its factorization.

61977160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 61977160 is about 7872.5573989651. The cubic root of 61977160 is about 395.7405537922.

The spelling of 61977160 in words is "sixty-one million, nine hundred seventy-seven thousand, one hundred sixty".