47560920 has 128 divisors (see below), whose sum is σ = 157386240. Its totient is φ = 11402240.

The previous prime is 47560901. The next prime is 47560921. The reversal of 47560920 is 2906574.

It is a super-2 number, since 2×47560920² = 4524082222492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47560921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180709 + ... + 180971.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580).

Almost surely, 2^47560920 is an apocalyptic number.

47560920 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 47560920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78693120).

47560920 is an abundant number, since it is smaller than the sum of its proper divisors (109825320).

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

47560920 is a wasteful number, since it uses less digits than its factorization.

47560920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 47560920 is about 6896.4425612050. The cubic root of 47560920 is about 362.3125816757.

The spelling of 47560920 in words is "forty-seven million, five hundred sixty thousand, nine hundred twenty".