47232640 has 128 divisors (see below), whose sum is σ = 139144320. Its totient is φ = 14929920.

The previous prime is 47232637. The next prime is 47232641. The reversal of 47232640 is 4623274.

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

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 47232599 and 47232608.

It is not an unprimeable number, because it can be changed into a prime (47232641) 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, 57835 + ... + 58645.

It is an arithmetic number, because the mean of its divisors is an integer number (1087065).

Almost surely, 2^47232640 is an apocalyptic number.

47232640 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 47232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69572160).

47232640 is an abundant number, since it is smaller than the sum of its proper divisors (91911680).

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

47232640 is a wasteful number, since it uses less digits than its factorization.

47232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 47232640 is about 6872.6006722346. The cubic root of 47232640 is about 361.4770589968.

The spelling of 47232640 in words is "forty-seven million, two hundred thirty-two thousand, six hundred forty".