5874624 has 168 divisors, whose sum is σ = 20287488. Its totient is φ = 1589760.

The previous prime is 5874607. The next prime is 5874641. The reversal of 5874624 is 4264785.

It is an interprime number because it is at equal distance from previous prime (5874607) and next prime (5874641).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×5874624² = 69022414282752, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 5⁴ + 8² + 7 + 4 + 6⁸ + 2²² + 4 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124969 + ... + 125015.

Almost surely, 2^5874624 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 5874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744).

5874624 is an abundant number, since it is smaller than the sum of its proper divisors (14412864).

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

5874624 is a wasteful number, since it uses less digits than its factorization.

5874624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

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

The square root of 5874624 is about 2423.7623645894. The cubic root of 5874624 is about 180.4374545103.

The spelling of 5874624 in words is "five million, eight hundred seventy-four thousand, six hundred twenty-four".