47867520 has 128 divisors (see below), whose sum is σ = 154664640. Its totient is φ = 12591104.

The previous prime is 47867513. The next prime is 47867527. The reversal of 47867520 is 2576874.

It is an interprime number because it is at equal distance from previous prime (47867513) and next prime (47867527).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (47867527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 205324 + ... + 205556.

Almost surely, 2^47867520 is an apocalyptic number.

47867520 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 47867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77332320).

47867520 is an abundant number, since it is smaller than the sum of its proper divisors (106797120).

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

47867520 is a wasteful number, since it uses less digits than its factorization.

47867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 47867520 is about 6918.6357036630. The cubic root of 47867520 is about 363.0894603026.

The spelling of 47867520 in words is "forty-seven million, eight hundred sixty-seven thousand, five hundred twenty".