45861120 has 144 divisors (see below), whose sum is σ = 162865920. Its totient is φ = 12220416.

The previous prime is 45861119. The next prime is 45861131. The reversal of 45861120 is 2116854.

45861120 is a `hidden beast` number, since 45 + 8 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33897 + ... + 35223.

Almost surely, 2^45861120 is an apocalyptic number.

45861120 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 45861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81432960).

45861120 is an abundant number, since it is smaller than the sum of its proper divisors (117004800).

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

45861120 is a wasteful number, since it uses less digits than its factorization.

45861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1337 counting only the distinct ones).

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

The square root of 45861120 is about 6772.0838742591. The cubic root of 45861120 is about 357.9438339734.

Adding to 45861120 its reverse (2116854), we get a palindrome (47977974).

The spelling of 45861120 in words is "forty-five million, eight hundred sixty-one thousand, one hundred twenty".