5975640 has 128 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1445760.

The previous prime is 5975617. The next prime is 5975659. The reversal of 5975640 is 465795.

5975640 is a `hidden beast` number, since 5 + 9 + 7 + 5 + 640 = 666.

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 = 5975595 and 5975604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11629 + ... + 12131.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^5975640 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 5975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

5975640 is an abundant number, since it is smaller than the sum of its proper divisors (15797160).

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

5975640 is a wasteful number, since it uses less digits than its factorization.

5975640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5975640 is about 2444.5122212826. The cubic root of 5975640 is about 181.4658087360.

The spelling of 5975640 in words is "five million, nine hundred seventy-five thousand, six hundred forty".