46642816 has 64 divisors (see below), whose sum is σ = 102497760. Its totient is φ = 20966400.

The previous prime is 46642801. The next prime is 46642819. The reversal of 46642816 is 61824664.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (46642819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220951 + ... + 221161.

Almost surely, 2^46642816 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 46642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51248880).

46642816 is an abundant number, since it is smaller than the sum of its proper divisors (55854944).

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

46642816 is a wasteful number, since it uses less digits than its factorization.

With its successor (46642817) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (393).

46642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 46642816 is about 6829.5545974829. The cubic root of 46642816 is about 359.9660873404.

The spelling of 46642816 in words is "forty-six million, six hundred forty-two thousand, eight hundred sixteen".