47620800 has 126 divisors (see below), whose sum is σ = 169306748. Its totient is φ = 12695040.

The previous prime is 47620777. The next prime is 47620817. The reversal of 47620800 is 802674.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12747 + ... + 16053.

Almost surely, 2^47620800 is an apocalyptic number.

47620800 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 47620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84653374).

47620800 is an abundant number, since it is smaller than the sum of its proper divisors (121685948).

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

47620800 is a wasteful number, since it uses less digits than its factorization.

47620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 47620800 is about 6900.7825643183. The cubic root of 47620800 is about 362.4645704573.

The spelling of 47620800 in words is "forty-seven million, six hundred twenty thousand, eight hundred".