5190624 has 72 divisors (see below), whose sum is σ = 15036840. Its totient is φ = 1698048.

The previous prime is 5190611. The next prime is 5190637. The reversal of 5190624 is 4260915.

It is an interprime number because it is at equal distance from previous prime (5190611) and next prime (5190637).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19162 + ... + 19430.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^5190624 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 5190624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518420).

5190624 is an abundant number, since it is smaller than the sum of its proper divisors (9846216).

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

5190624 is a wasteful number, since it uses less digits than its factorization.

5190624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5190624 is about 2278.2940986624. The cubic root of 5190624 is about 173.1436320401.

The spelling of 5190624 in words is "five million, one hundred ninety thousand, six hundred twenty-four".