47575080 has 384 divisors, whose sum is σ = 196992000. Its totient is φ = 10160640.

The previous prime is 47575067. The next prime is 47575091. The reversal of 47575080 is 8057574.

47575080 is a `hidden beast` number, since 4 + 7 + 575 + 0 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1534665 + ... + 1534695.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^47575080 is an apocalyptic number.

47575080 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 47575080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

47575080 is an abundant number, since it is smaller than the sum of its proper divisors (149416920).

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

47575080 is a wasteful number, since it uses less digits than its factorization.

47575080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 47575080 is about 6897.4691010544. The cubic root of 47575080 is about 362.3485344222.

The spelling of 47575080 in words is "forty-seven million, five hundred seventy-five thousand, eighty".