61916160 has 176 divisors, whose sum is σ = 206337600. Its totient is φ = 15826944.

The previous prime is 61916149. The next prime is 61916177. The reversal of 61916160 is 6161916.

It is a happy number.

It is a super-2 number, since 2×61916160² = 7667221738291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445371 + ... + 445509.

Almost surely, 2^61916160 is an apocalyptic number.

61916160 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 61916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103168800).

61916160 is an abundant number, since it is smaller than the sum of its proper divisors (144421440).

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

61916160 is a wasteful number, since it uses less digits than its factorization.

61916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 61916160 is about 7868.6822276668. The cubic root of 61916160 is about 395.6106774637.

The spelling of 61916160 in words is "sixty-one million, nine hundred sixteen thousand, one hundred sixty".