47578320 has 80 divisors (see below), whose sum is σ = 163888320. Its totient is φ = 12686976.

The previous prime is 47578309. The next prime is 47578331. The reversal of 47578320 is 2387574.

It is an interprime number because it is at equal distance from previous prime (47578309) and next prime (47578331).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8854 + ... + 13173.

It is an arithmetic number, because the mean of its divisors is an integer number (2048604).

Almost surely, 2^47578320 is an apocalyptic number.

47578320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47578320 is an abundant number, since it is smaller than the sum of its proper divisors (116310000).

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

47578320 is a wasteful number, since it uses less digits than its factorization.

47578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22049 (or 22037 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 47578320 is about 6897.7039658136. The cubic root of 47578320 is about 362.3567598951.

The spelling of 47578320 in words is "forty-seven million, five hundred seventy-eight thousand, three hundred twenty".