45812610 has 96 divisors (see below), whose sum is σ = 127445760. Its totient is φ = 11384064.

The previous prime is 45812561. The next prime is 45812633. The reversal of 45812610 is 1621854.

45812610 is a `hidden beast` number, since 45 + 8 + 1 + 2 + 610 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124647 + ... + 125013.

It is an arithmetic number, because the mean of its divisors is an integer number (1327560).

Almost surely, 2^45812610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45812610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63722880).

45812610 is an abundant number, since it is smaller than the sum of its proper divisors (81633150).

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

45812610 is a wasteful number, since it uses less digits than its factorization.

45812610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45812610 is about 6768.5013112210. The cubic root of 45812610 is about 357.8175833771.

The spelling of 45812610 in words is "forty-five million, eight hundred twelve thousand, six hundred ten".