5742624 has 48 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1866240.

The previous prime is 5742623. The next prime is 5742631. The reversal of 5742624 is 4262475.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5742591 and 5742600.

It is not an unprimeable number, because it can be changed into a prime (5742623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3207 + ... + 4665.

It is an arithmetic number, because the mean of its divisors is an integer number (321930).

Almost surely, 2^5742624 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 5742624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

5742624 is an abundant number, since it is smaller than the sum of its proper divisors (9710016).

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

5742624 is a wasteful number, since it uses less digits than its factorization.

5742624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 5742624 is about 2396.3772657910. The cubic root of 5742624 is about 179.0757562469.

The spelling of 5742624 in words is "five million, seven hundred forty-two thousand, six hundred twenty-four".