45566820 has 96 divisors (see below), whose sum is σ = 152691840. Its totient is φ = 11214720.

The previous prime is 45566809. The next prime is 45566827. The reversal of 45566820 is 2866554.

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

It is not an unprimeable number, because it can be changed into a prime (45566827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (1590540).

Almost surely, 2^45566820 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 45566820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76345920).

45566820 is an abundant number, since it is smaller than the sum of its proper divisors (107125020).

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

45566820 is a wasteful number, since it uses less digits than its factorization.

45566820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45566820 is about 6750.3199924152. The cubic root of 45566820 is about 357.1765245214.

The spelling of 45566820 in words is "forty-five million, five hundred sixty-six thousand, eight hundred twenty".