10400840 has 32 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 4062912.

The previous prime is 10400833. The next prime is 10400843. The reversal of 10400840 is 4800401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10400843) 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 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^10400840 is an apocalyptic number.

10400840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400840 is an abundant number, since it is smaller than the sum of its proper divisors (13549240).

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

10400840 is a wasteful number, since it uses less digits than its factorization.

10400840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10400840 is about 3225.0333331611. The cubic root of 10400840 is about 218.2844531849.

The spelling of 10400840 in words is "ten million, four hundred thousand, eight hundred forty".