5874120 has 240 divisors, whose sum is σ = 23587740. Its totient is φ = 1306368.

The previous prime is 5874103. The next prime is 5874133. The reversal of 5874120 is 214785.

5874120 = 78² + 79² + ... + 262².

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 142884 = 2394^2 + 378^2 .

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158742 + ... + 158778.

Almost surely, 2^5874120 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 5874120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793870).

5874120 is an abundant number, since it is smaller than the sum of its proper divisors (17713620).

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

5874120 is a wasteful number, since it uses less digits than its factorization.

5874120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5874120 is about 2423.6583917706. The cubic root of 5874120 is about 180.4322942891.

The spelling of 5874120 in words is "five million, eight hundred seventy-four thousand, one hundred twenty".