45623160 has 192 divisors, whose sum is σ = 166289760. Its totient is φ = 10752000.

The previous prime is 45623159. The next prime is 45623167. The reversal of 45623160 is 6132654.

45623160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45623167) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 162220 + ... + 162500.

Almost surely, 2^45623160 is an apocalyptic number.

45623160 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 45623160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83144880).

45623160 is an abundant number, since it is smaller than the sum of its proper divisors (120666600).

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

45623160 is a wasteful number, since it uses less digits than its factorization.

45623160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45623160 is about 6754.4918387692. The cubic root of 45623160 is about 357.3236713372.

The spelling of 45623160 in words is "forty-five million, six hundred twenty-three thousand, one hundred sixty".