10029440 has 32 divisors (see below), whose sum is σ = 23978160. Its totient is φ = 4011520.

The previous prime is 10029433. The next prime is 10029443. The reversal of 10029440 is 4492001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7196 + ... + 8475.

Almost surely, 2^10029440 is an apocalyptic number.

10029440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10029440 is an abundant number, since it is smaller than the sum of its proper divisors (13948720).

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

10029440 is an equidigital number, since it uses as much as digits as its factorization.

10029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10029440 is about 3166.9291119316. The cubic root of 10029440 is about 215.6546837241.

The spelling of 10029440 in words is "ten million, twenty-nine thousand, four hundred forty".