47681640 has 96 divisors (see below), whose sum is σ = 163144800. Its totient is φ = 12044160.

The previous prime is 47681633. The next prime is 47681653. The reversal of 47681640 is 4618674.

47681640 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47681595 and 47681604.

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, 3355 + ... + 10325.

It is an arithmetic number, because the mean of its divisors is an integer number (1699425).

Almost surely, 2^47681640 is an apocalyptic number.

47681640 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 47681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81572400).

47681640 is an abundant number, since it is smaller than the sum of its proper divisors (115463160).

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

47681640 is a wasteful number, since it uses less digits than its factorization.

47681640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47681640 is about 6905.1893529432. The cubic root of 47681640 is about 362.6188654980.

The spelling of 47681640 in words is "forty-seven million, six hundred eighty-one thousand, six hundred forty".