10790640 has 120 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 2465280.

The previous prime is 10790623. The next prime is 10790653. The reversal of 10790640 is 4609701.

10790640 is a `hidden beast` number, since 10 + 7 + 9 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 3970 + ... + 6110.

Almost surely, 2^10790640 is an apocalyptic number.

10790640 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 10790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

10790640 is an abundant number, since it is smaller than the sum of its proper divisors (30644208).

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

10790640 is a wasteful number, since it uses less digits than its factorization.

10790640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10790640 is about 3284.9109576973. The cubic root of 10790640 is about 220.9780149161.

The spelling of 10790640 in words is "ten million, seven hundred ninety thousand, six hundred forty".