10526640 has 80 divisors (see below), whose sum is σ = 34069248. Its totient is φ = 2683648.

The previous prime is 10526599. The next prime is 10526657. The reversal of 10526640 is 4662501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10526640² = 221620299379200, which contains 22 as substring.

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 10526640.

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 15 ways as a sum of consecutive naturals, for example, 4567 + ... + 6473.

Almost surely, 2^10526640 is an apocalyptic number.

10526640 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 10526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034624).

10526640 is an abundant number, since it is smaller than the sum of its proper divisors (23542608).

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

10526640 is a wasteful number, since it uses less digits than its factorization.

10526640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10526640 is about 3244.4783864282. The cubic root of 10526640 is about 219.1609916911.

The spelling of 10526640 in words is "ten million, five hundred twenty-six thousand, six hundred forty".