45347120 has 80 divisors (see below), whose sum is σ = 129783360. Its totient is φ = 14349312.

The previous prime is 45347117. The next prime is 45347131. The reversal of 45347120 is 2174354.

45347120 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 (80).

It is a super-2 number, since 2×45347120² = 4112722584588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 45347120.

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 15 ways as a sum of consecutive naturals, for example, 4166 + ... + 10394.

It is an arithmetic number, because the mean of its divisors is an integer number (1622292).

Almost surely, 2^45347120 is an apocalyptic number.

45347120 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 45347120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64891680).

45347120 is an abundant number, since it is smaller than the sum of its proper divisors (84436240).

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

45347120 is a wasteful number, since it uses less digits than its factorization.

45347120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 45347120 is about 6734.0270269728. The cubic root of 45347120 is about 356.6015583642.

The spelling of 45347120 in words is "forty-five million, three hundred forty-seven thousand, one hundred twenty".