47621520 has 100 divisors (see below), whose sum is σ = 165419100. Its totient is φ = 12697344.

The previous prime is 47621503. The next prime is 47621521. The reversal of 47621520 is 2512674.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 22581504 = 5004^2 + 4752^2 .

It is a super-2 number, since 2×47621520² = 4535618334220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47621521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2806 + ... + 10154.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 2^47621520 is an apocalyptic number.

47621520 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 47621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709550).

47621520 is an abundant number, since it is smaller than the sum of its proper divisors (117797580).

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

47621520 is a wasteful number, since it uses less digits than its factorization.

47621520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7359 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47621520 is about 6900.8347321176. The cubic root of 47621520 is about 362.4663972023.

The spelling of 47621520 in words is "forty-seven million, six hundred twenty-one thousand, five hundred twenty".