45616600 has 48 divisors (see below), whose sum is σ = 108664920. Its totient is φ = 17798400.

The previous prime is 45616591. The next prime is 45616601. The reversal of 45616600 is 661654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45616601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5419 + ... + 10981.

Almost surely, 2^45616600 is an apocalyptic number.

45616600 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 45616600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54332460).

45616600 is an abundant number, since it is smaller than the sum of its proper divisors (63048320).

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

45616600 is a wasteful number, since it uses less digits than its factorization.

45616600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45616600 is about 6754.0062185343. The cubic root of 45616600 is about 357.3065443953.

The spelling of 45616600 in words is "forty-five million, six hundred sixteen thousand, six hundred".