47700864 has 96 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 15544320.

The previous prime is 47700823. The next prime is 47700931. The reversal of 47700864 is 46800774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53704 + ... + 54584.

It is an arithmetic number, because the mean of its divisors is an integer number (1461915).

Almost surely, 2^47700864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

47700864 is an abundant number, since it is smaller than the sum of its proper divisors (92642976).

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

47700864 is a wasteful number, since it uses less digits than its factorization.

47700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47700864 is about 6906.5812092525. The cubic root of 47700864 is about 362.6675917893.

The spelling of 47700864 in words is "forty-seven million, seven hundred thousand, eight hundred sixty-four".