47916120 has 192 divisors, whose sum is σ = 173599200. Its totient is φ = 10536960.

The previous prime is 47916109. The next prime is 47916131. The reversal of 47916120 is 2161974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47916109) and next prime (47916131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170380 + ... + 170660.

Almost surely, 2^47916120 is an apocalyptic number.

47916120 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 47916120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86799600).

47916120 is an abundant number, since it is smaller than the sum of its proper divisors (125683080).

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

47916120 is a wasteful number, since it uses less digits than its factorization.

47916120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 47916120 is about 6922.1470657593. The cubic root of 47916120 is about 363.2123005854.

The spelling of 47916120 in words is "forty-seven million, nine hundred sixteen thousand, one hundred twenty".