47968600 has 24 divisors (see below), whose sum is σ = 111527460. Its totient is φ = 19187360.

The previous prime is 47968573. The next prime is 47968601. The reversal of 47968600 is 686974.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47968601) 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, 119722 + ... + 120121.

Almost surely, 2^47968600 is an apocalyptic number.

47968600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47968600 is an abundant number, since it is smaller than the sum of its proper divisors (63558860).

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

47968600 is a wasteful number, since it uses less digits than its factorization.

47968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239859 (or 239850 counting only the distinct ones).

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

The square root of 47968600 is about 6925.9367597459. The cubic root of 47968600 is about 363.3448546319.

The spelling of 47968600 in words is "forty-seven million, nine hundred sixty-eight thousand, six hundred".