45127680 has 192 divisors, whose sum is σ = 156854880. Its totient is φ = 11010048.

The previous prime is 45127637. The next prime is 45127703. The reversal of 45127680 is 8672154.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399304 + ... + 399416.

Almost surely, 2^45127680 is an apocalyptic number.

45127680 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 45127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

45127680 is an abundant number, since it is smaller than the sum of its proper divisors (111727200).

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

45127680 is a wasteful number, since it uses less digits than its factorization.

45127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45127680 is about 6717.7138968551. The cubic root of 45127680 is about 356.0254158516.

The spelling of 45127680 in words is "forty-five million, one hundred twenty-seven thousand, six hundred eighty".