45367120 has 40 divisors (see below), whose sum is σ = 105993216. Its totient is φ = 18058368.

The previous prime is 45367087. The next prime is 45367121. The reversal of 45367120 is 2176354.

45367120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45367121) 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 7 ways as a sum of consecutive naturals, for example, 16569 + ... + 19111.

Almost surely, 2^45367120 is an apocalyptic number.

45367120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45367120 is an abundant number, since it is smaller than the sum of its proper divisors (60626096).

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

45367120 is a wasteful number, since it uses less digits than its factorization.

45367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 45367120 is about 6735.5118587974. The cubic root of 45367120 is about 356.6539761209.

The spelling of 45367120 in words is "forty-five million, three hundred sixty-seven thousand, one hundred twenty".