5964840 has 160 divisors (see below), whose sum is σ = 22999680. Its totient is φ = 1358208.

The previous prime is 5964839. The next prime is 5964857. The reversal of 5964840 is 484695.

5964840 = 173² + 174² + ... + 284².

5964840 is a `hidden beast` number, since 5 + 9 + 648 + 4 + 0 = 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 = 5964795 and 5964804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22549 + ... + 22811.

It is an arithmetic number, because the mean of its divisors is an integer number (143748).

Almost surely, 2^5964840 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 5964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499840).

5964840 is an abundant number, since it is smaller than the sum of its proper divisors (17034840).

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

5964840 is a wasteful number, since it uses less digits than its factorization.

5964840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5964840 is about 2442.3021926043. The cubic root of 5964840 is about 181.3564194704.

The spelling of 5964840 in words is "five million, nine hundred sixty-four thousand, eight hundred forty".