45631616 has 64 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 20837376.

The previous prime is 45631591. The next prime is 45631627. The reversal of 45631616 is 61613654.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 70205 + ... + 70851.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2^45631616 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 45631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

45631616 is an abundant number, since it is smaller than the sum of its proper divisors (53512384).

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

45631616 is a wasteful number, since it uses less digits than its factorization.

45631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 45631616 is about 6755.1177635923. The cubic root of 45631616 is about 357.3457459612.

The spelling of 45631616 in words is "forty-five million, six hundred thirty-one thousand, six hundred sixteen".