47586240 has 336 divisors, whose sum is σ = 186391296. Its totient is φ = 11059200.

The previous prime is 47586223. The next prime is 47586257. The reversal of 47586240 is 4268574.

It is an interprime number because it is at equal distance from previous prime (47586223) and next prime (47586257).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 47586195 and 47586204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160620 + ... + 1160660.

It is an arithmetic number, because the mean of its divisors is an integer number (554736).

Almost surely, 2^47586240 is an apocalyptic number.

47586240 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 47586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195648).

47586240 is an abundant number, since it is smaller than the sum of its proper divisors (138805056).

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

47586240 is a wasteful number, since it uses less digits than its factorization.

47586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47586240 is about 6898.2780460054. The cubic root of 47586240 is about 362.3768650348.

The spelling of 47586240 in words is "forty-seven million, five hundred eighty-six thousand, two hundred forty".