47553680 has 20 divisors (see below), whose sum is σ = 110562492. Its totient is φ = 19021440.

The previous prime is 47553661. The next prime is 47553731. The reversal of 47553680 is 8635574.

It can be written as a sum of positive squares in 2 ways, for example, as 36048016 + 11505664 = 6004^2 + 3392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×47553680² = 4522704963084800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297131 + ... + 297290.

Almost surely, 2^47553680 is an apocalyptic number.

47553680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47553680 is an abundant number, since it is smaller than the sum of its proper divisors (63008812).

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

47553680 is a wasteful number, since it uses less digits than its factorization.

47553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594434 (or 594428 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 47553680 is about 6895.9176329188. The cubic root of 47553680 is about 362.2941962996.

The spelling of 47553680 in words is "forty-seven million, five hundred fifty-three thousand, six hundred eighty".