10267840 has 56 divisors (see below), whose sum is σ = 26682192. Its totient is φ = 3732480.

The previous prime is 10267819. The next prime is 10267843. The reversal of 10267840 is 4876201.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10267799 and 10267808.

It is not an unprimeable number, because it can be changed into a prime (10267843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062 + ... + 4978.

Almost surely, 2^10267840 is an apocalyptic number.

10267840 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 10267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341096).

10267840 is an abundant number, since it is smaller than the sum of its proper divisors (16414352).

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

10267840 is a wasteful number, since it uses less digits than its factorization.

10267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10267840 is about 3204.3470473717. The cubic root of 10267840 is about 217.3500265280.

The spelling of 10267840 in words is "ten million, two hundred sixty-seven thousand, eight hundred forty".