47839680 has 336 divisors, whose sum is σ = 198059040. Its totient is φ = 10838016.

The previous prime is 47839657. The next prime is 47839697. The reversal of 47839680 is 8693874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423304 + ... + 423416.

Almost surely, 2^47839680 is an apocalyptic number.

47839680 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 47839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99029520).

47839680 is an abundant number, since it is smaller than the sum of its proper divisors (150219360).

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

47839680 is a wasteful number, since it uses less digits than its factorization.

47839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 47839680 is about 6916.6234536803. The cubic root of 47839680 is about 363.0190550751.

The spelling of 47839680 in words is "forty-seven million, eight hundred thirty-nine thousand, six hundred eighty".