11257840 has 60 divisors (see below), whose sum is σ = 28795032. Its totient is φ = 4090240.

The previous prime is 11257837. The next prime is 11257843. The reversal of 11257840 is 4875211.

11257840 = 568² + 569² + ... + 600².

It is an interprime number because it is at equal distance from previous prime (11257837) and next prime (11257843).

It is a super-2 number, since 2×11257840² = 253477922931200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11257799 and 11257808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9099 + ... + 10261.

Almost surely, 2^11257840 is an apocalyptic number.

11257840 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 11257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397516).

11257840 is an abundant number, since it is smaller than the sum of its proper divisors (17537192).

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

11257840 is a wasteful number, since it uses less digits than its factorization.

11257840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 11257840 is about 3355.2704809002. The cubic root of 11257840 is about 224.1222759276.

The spelling of 11257840 in words is "eleven million, two hundred fifty-seven thousand, eight hundred forty".