47696800 has 36 divisors (see below), whose sum is σ = 116441766. Its totient is φ = 19078400.

The previous prime is 47696773. The next prime is 47696809. The reversal of 47696800 is 869674.

It can be written as a sum of positive squares in 3 ways, for example, as 42146064 + 5550736 = 6492^2 + 2356^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47696809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29011 + ... + 30610.

Almost surely, 2^47696800 is an apocalyptic number.

47696800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47696800 is an abundant number, since it is smaller than the sum of its proper divisors (68744966).

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

47696800 is a wasteful number, since it uses less digits than its factorization.

47696800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59641 (or 59628 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 47696800 is about 6906.2869908512. The cubic root of 47696800 is about 362.6572920251.

The spelling of 47696800 in words is "forty-seven million, six hundred ninety-six thousand, eight hundred".