47623120 has 120 divisors (see below), whose sum is σ = 125007624. Its totient is φ = 16809984.

The previous prime is 47623117. The next prime is 47623123. The reversal of 47623120 is 2132674.

It is an interprime number because it is at equal distance from previous prime (47623117) and next prime (47623123).

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 38837824 = 2964^2 + 6232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47623123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490912 + ... + 491008.

Almost surely, 2^47623120 is an apocalyptic number.

47623120 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 47623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62503812).

47623120 is an abundant number, since it is smaller than the sum of its proper divisors (77384504).

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

47623120 is a wasteful number, since it uses less digits than its factorization.

47623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 47623120 is about 6900.9506591483. The cubic root of 47623120 is about 362.4704565697.

Adding to 47623120 its reverse (2132674), we get a palindrome (49755794).

The spelling of 47623120 in words is "forty-seven million, six hundred twenty-three thousand, one hundred twenty".