10432640 has 32 divisors (see below), whose sum is σ = 24942060. Its totient is φ = 4172800.

The previous prime is 10432633. The next prime is 10432673. The reversal of 10432640 is 4623401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10291264 + 141376 = 3208^2 + 376^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7511 + ... + 8790.

Almost surely, 2^10432640 is an apocalyptic number.

10432640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432640 is an abundant number, since it is smaller than the sum of its proper divisors (14509420).

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

10432640 is an equidigital number, since it uses as much as digits as its factorization.

10432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10432640 is about 3229.9597520712. The cubic root of 10432640 is about 218.5066911080.

It can be divided in two parts, 10 and 432640, that multiplied together give a square (4326400 = 2080²).

The spelling of 10432640 in words is "ten million, four hundred thirty-two thousand, six hundred forty".