45661000 has 128 divisors (see below), whose sum is σ = 133436160. Its totient is φ = 14208000.

The previous prime is 45660983. The next prime is 45661019. The reversal of 45661000 is 16654.

45661000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76704 + ... + 77296.

It is an arithmetic number, because the mean of its divisors is an integer number (1042470).

Almost surely, 2^45661000 is an apocalyptic number.

45661000 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 45661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66718080).

45661000 is an abundant number, since it is smaller than the sum of its proper divisors (87775160).

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

45661000 is a wasteful number, since it uses less digits than its factorization.

45661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45661000 is about 6757.2923571502. The cubic root of 45661000 is about 357.4224325168.

Adding to 45661000 its reverse (16654), we get a palindrome (45677654).

The spelling of 45661000 in words is "forty-five million, six hundred sixty-one thousand".