47590920 has 96 divisors (see below), whose sum is σ = 166584600. Its totient is φ = 11713536.

The previous prime is 47590913. The next prime is 47590927. The reversal of 47590920 is 2909574.

47590920 is a `hidden beast` number, since 47 + 590 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (47590913) and next prime (47590927).

It can be written as a sum of positive squares in 4 ways, for example, as 40525956 + 7064964 = 6366^2 + 2658^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47590927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405 + ... + 9764.

Almost surely, 2^47590920 is an apocalyptic number.

47590920 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 47590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83292300).

47590920 is an abundant number, since it is smaller than the sum of its proper divisors (118993680).

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

47590920 is a wasteful number, since it uses less digits than its factorization.

47590920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10192 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 47590920 is about 6898.6172527544. The cubic root of 47590920 is about 362.3887442961.

The spelling of 47590920 in words is "forty-seven million, five hundred ninety thousand, nine hundred twenty".