10724040 has 48 divisors (see below), whose sum is σ = 34854300. Its totient is φ = 2859648.

The previous prime is 10724027. The next prime is 10724041. The reversal of 10724040 is 4042701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9326916 + 1397124 = 3054^2 + 1182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10724041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14535 + ... + 15254.

Almost surely, 2^10724040 is an apocalyptic number.

10724040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10724040 is an abundant number, since it is smaller than the sum of its proper divisors (24130260).

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

10724040 is a wasteful number, since it uses less digits than its factorization.

10724040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29806 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10724040 is about 3274.7580063266. The cubic root of 10724040 is about 220.5224497790.

Adding to 10724040 its reverse (4042701), we get a palindrome (14766741).

The spelling of 10724040 in words is "ten million, seven hundred twenty-four thousand, forty".