45871584 has 96 divisors (see below), whose sum is σ = 132814080. Its totient is φ = 13861760.

The previous prime is 45871571. The next prime is 45871603. The reversal of 45871584 is 48517854.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127597 + ... + 127955.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^45871584 is an apocalyptic number.

45871584 is a gapful number since it is divisible by the number (44) 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 45871584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66407040).

45871584 is an abundant number, since it is smaller than the sum of its proper divisors (86942496).

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

45871584 is a wasteful number, since it uses less digits than its factorization.

45871584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 45871584 is about 6772.8564136559. The cubic root of 45871584 is about 357.9710555753.

The spelling of 45871584 in words is "forty-five million, eight hundred seventy-one thousand, five hundred eighty-four".