61166496 has 48 divisors (see below), whose sum is σ = 162388800. Its totient is φ = 20156928.

The previous prime is 61166489. The next prime is 61166519. The reversal of 61166496 is 69466116.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4965 + ... + 12123.

It is an arithmetic number, because the mean of its divisors is an integer number (3383100).

Almost surely, 2^61166496 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 61166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81194400).

61166496 is an abundant number, since it is smaller than the sum of its proper divisors (101222304).

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

61166496 is a wasteful number, since it uses less digits than its factorization.

61166496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7253 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 61166496 is about 7820.9012268408. The cubic root of 61166496 is about 394.0075410617.

The spelling of 61166496 in words is "sixty-one million, one hundred sixty-six thousand, four hundred ninety-six".