47540160 has 168 divisors, whose sum is σ = 173315376. Its totient is φ = 11919360.

The previous prime is 47540137. The next prime is 47540161. The reversal of 47540160 is 6104574.

47540160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47540161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48475 + ... + 49445.

Almost surely, 2^47540160 is an apocalyptic number.

47540160 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 47540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86657688).

47540160 is an abundant number, since it is smaller than the sum of its proper divisors (125775216).

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

47540160 is a wasteful number, since it uses less digits than its factorization.

47540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

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

The square root of 47540160 is about 6894.9372731012. The cubic root of 47540160 is about 362.2598583906.

The spelling of 47540160 in words is "forty-seven million, five hundred forty thousand, one hundred sixty".