10412640 has 144 divisors (see below), whose sum is σ = 40648608. Its totient is φ = 2377728.

The previous prime is 10412587. The next prime is 10412657. The reversal of 10412640 is 4621401.

10412640 is a `hidden beast` number, since 10 + 4 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9564 + ... + 10596.

It is an arithmetic number, because the mean of its divisors is an integer number (282282).

Almost surely, 2^10412640 is an apocalyptic number.

10412640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324304).

10412640 is an abundant number, since it is smaller than the sum of its proper divisors (30235968).

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

10412640 is a wasteful number, since it uses less digits than its factorization.

10412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10412640 is about 3226.8622530254. The cubic root of 10412640 is about 218.3669716185.

The spelling of 10412640 in words is "ten million, four hundred twelve thousand, six hundred forty".