47613360 has 80 divisors (see below), whose sum is σ = 152713440. Its totient is φ = 12257280.

The previous prime is 47613359. The next prime is 47613361. The reversal of 47613360 is 6331674.

It is an interprime number because it is at equal distance from previous prime (47613359) and next prime (47613361).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (47613361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3540 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (1908918).

Almost surely, 2^47613360 is an apocalyptic number.

47613360 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 47613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76356720).

47613360 is an abundant number, since it is smaller than the sum of its proper divisors (105100080).

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

47613360 is a wasteful number, since it uses less digits than its factorization.

47613360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 47613360 is about 6900.2434739652. The cubic root of 47613360 is about 362.4456930140.

The spelling of 47613360 in words is "forty-seven million, six hundred thirteen thousand, three hundred sixty".