46691616 has 48 divisors (see below), whose sum is σ = 123415488. Its totient is φ = 15456000.

The previous prime is 46691609. The next prime is 46691627. The reversal of 46691616 is 61619664.

46691616 is a nontrivial binomial coefficient, being equal to C(9664, 2).

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, 12886 + ... + 16106.

It is an arithmetic number, because the mean of its divisors is an integer number (2571156).

Almost surely, 2^46691616 is an apocalyptic number.

46691616 is the 9663-rd triangular number and also the 4832-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61707744).

46691616 is an abundant number, since it is smaller than the sum of its proper divisors (76723872).

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

46691616 is a wasteful number, since it uses less digits than its factorization.

46691616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3377 counting only the distinct ones).

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

The square root of 46691616 is about 6833.1263708496. The cubic root of 46691616 is about 360.0915816385.

The spelling of 46691616 in words is "forty-six million, six hundred ninety-one thousand, six hundred sixteen".