10019724 has 48 divisors (see below), whose sum is σ = 27471360. Its totient is φ = 2802240.

The previous prime is 10019717. The next prime is 10019729. The reversal of 10019724 is 42791001.

It is a junction number, because it is equal to n+sod(n) for n = 10019694 and 10019703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (572320).

Almost surely, 2^10019724 is an apocalyptic number.

It is an amenable number.

10019724 is an abundant number, since it is smaller than the sum of its proper divisors (17451636).

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

10019724 is a wasteful number, since it uses less digits than its factorization.

10019724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10019724 is about 3165.3947621110. The cubic root of 10019724 is about 215.5850228764.

The spelling of 10019724 in words is "ten million, nineteen thousand, seven hundred twenty-four".