61977960 has 320 divisors, whose sum is σ = 238360320. Its totient is φ = 14307840.

The previous prime is 61977941. The next prime is 61977961. The reversal of 61977960 is 6977916.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61977961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1318657 + ... + 1318703.

It is an arithmetic number, because the mean of its divisors is an integer number (744876).

Almost surely, 2^61977960 is an apocalyptic number.

61977960 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 61977960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

61977960 is an abundant number, since it is smaller than the sum of its proper divisors (176382360).

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

61977960 is a wasteful number, since it uses less digits than its factorization.

61977960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 61977960 is about 7872.6082082116. The cubic root of 61977960 is about 395.7422565220.

The spelling of 61977960 in words is "sixty-one million, nine hundred seventy-seven thousand, nine hundred sixty".