47864640 has 112 divisors (see below), whose sum is σ = 154277568. Its totient is φ = 12570624.

The previous prime is 47864627. The next prime is 47864647. The reversal of 47864640 is 4646874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47864647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69739 + ... + 70421.

Almost surely, 2^47864640 is an apocalyptic number.

47864640 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 47864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77138784).

47864640 is an abundant number, since it is smaller than the sum of its proper divisors (106412928).

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

47864640 is a wasteful number, since it uses less digits than its factorization.

47864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 47864640 is about 6918.4275670126. The cubic root of 47864640 is about 363.0821782694.

The spelling of 47864640 in words is "forty-seven million, eight hundred sixty-four thousand, six hundred forty".