45861660 has 192 divisors, whose sum is σ = 158054400. Its totient is φ = 10969344.

The previous prime is 45861619. The next prime is 45861661. The reversal of 45861660 is 6616854.

45861660 is a `hidden beast` number, since 4 + 586 + 16 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45861661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329871 + ... + 330009.

It is an arithmetic number, because the mean of its divisors is an integer number (823200).

Almost surely, 2^45861660 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 45861660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027200).

45861660 is an abundant number, since it is smaller than the sum of its proper divisors (112192740).

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

45861660 is a wasteful number, since it uses less digits than its factorization.

45861660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45861660 is about 6772.1237437011. The cubic root of 45861660 is about 357.9452388593.

The spelling of 45861660 in words is "forty-five million, eight hundred sixty-one thousand, six hundred sixty".