61959168 has 154 divisors (see below), whose sum is σ = 187939164. Its totient is φ = 20404224.

The previous prime is 61959137. The next prime is 61959179. The reversal of 61959168 is 86195916.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746455 + ... + 746537.

Almost surely, 2^61959168 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 61959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93969582).

61959168 is an abundant number, since it is smaller than the sum of its proper divisors (125979996).

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

61959168 is an frugal number, since it uses more digits than its factorization.

61959168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 61959168 is about 7871.4146123807. The cubic root of 61959168 is about 395.7022555268.

The spelling of 61959168 in words is "sixty-one million, nine hundred fifty-nine thousand, one hundred sixty-eight".