45767120 has 40 divisors (see below), whose sum is σ = 121611264. Its totient is φ = 15691392.

The previous prime is 45767083. The next prime is 45767153. The reversal of 45767120 is 2176754.

45767120 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 congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40304 + ... + 41423.

Almost surely, 2^45767120 is an apocalyptic number.

45767120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45767120 is an abundant number, since it is smaller than the sum of its proper divisors (75844144).

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

45767120 is a wasteful number, since it uses less digits than its factorization.

45767120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81747 (or 81741 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 45767120 is about 6765.1400576780. The cubic root of 45767120 is about 357.6991115390.

The spelling of 45767120 in words is "forty-five million, seven hundred sixty-seven thousand, one hundred twenty".