47688340 has 48 divisors (see below), whose sum is σ = 116629632. Its totient is φ = 16039296.

The previous prime is 47688331. The next prime is 47688359. The reversal of 47688340 is 4388674.

It is a junction number, because it is equal to n+sod(n) for n = 47688293 and 47688302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207 + ... + 10633.

It is an arithmetic number, because the mean of its divisors is an integer number (2429784).

Almost surely, 2^47688340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47688340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58314816).

47688340 is an abundant number, since it is smaller than the sum of its proper divisors (68941292).

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

47688340 is a wasteful number, since it uses less digits than its factorization.

47688340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6494 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 47688340 is about 6905.6744782823. The cubic root of 47688340 is about 362.6358492022.

The spelling of 47688340 in words is "forty-seven million, six hundred eighty-eight thousand, three hundred forty".