61377168 has 80 divisors (see below), whose sum is σ = 164203776. Its totient is φ = 19743360.

The previous prime is 61377167. The next prime is 61377181. The reversal of 61377168 is 86177316.

It is not an unprimeable number, because it can be changed into a prime (61377167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270271 + ... + 270497.

Almost surely, 2^61377168 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 61377168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101888).

61377168 is an abundant number, since it is smaller than the sum of its proper divisors (102826608).

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

61377168 is a wasteful number, since it uses less digits than its factorization.

61377168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 61377168 is about 7834.3581740944. The cubic root of 61377168 is about 394.4593746970.

The spelling of 61377168 in words is "sixty-one million, three hundred seventy-seven thousand, one hundred sixty-eight".