46116160 has 56 divisors (see below), whose sum is σ = 110496096. Its totient is φ = 18332160.

The previous prime is 46116143. The next prime is 46116199. The reversal of 46116160 is 6161164.

It is a congruent number.

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, 67179 + ... + 67861.

Almost surely, 2^46116160 is an apocalyptic number.

46116160 is a gapful number since it is divisible by the number (40) 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 46116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248048).

46116160 is an abundant number, since it is smaller than the sum of its proper divisors (64379936).

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

46116160 is a wasteful number, since it uses less digits than its factorization.

46116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 46116160 is about 6790.8880126240. Note that the first 3 decimals coincide. The cubic root of 46116160 is about 358.6061327493.

The spelling of 46116160 in words is "forty-six million, one hundred sixteen thousand, one hundred sixty".