47792640 has 240 divisors, whose sum is σ = 179131392. Its totient is φ = 10838016.

The previous prime is 47792639. The next prime is 47792653. The reversal of 47792640 is 4629774.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376257 + ... + 376383.

Almost surely, 2^47792640 is an apocalyptic number.

47792640 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 47792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565696).

47792640 is an abundant number, since it is smaller than the sum of its proper divisors (131338752).

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

47792640 is a wasteful number, since it uses less digits than its factorization.

47792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 47792640 is about 6913.2221141809. Note that the first 3 decimals coincide. The cubic root of 47792640 is about 362.9000324256.

The spelling of 47792640 in words is "forty-seven million, seven hundred ninety-two thousand, six hundred forty".