10829040 has 40 divisors (see below), whose sum is σ = 33570768. Its totient is φ = 2887680.

The previous prime is 10829033. The next prime is 10829047. The reversal of 10829040 is 4092801.

10829040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10829033) and next prime (10829047).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10829040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829047) 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, 22321 + ... + 22800.

Almost surely, 2^10829040 is an apocalyptic number.

10829040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10829040 is an abundant number, since it is smaller than the sum of its proper divisors (22741728).

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

10829040 is a wasteful number, since it uses less digits than its factorization.

10829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45137 (or 45131 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10829040 is about 3290.7506742383. The cubic root of 10829040 is about 221.2398316371.

The spelling of 10829040 in words is "ten million, eight hundred twenty-nine thousand, forty".