11261040 has 80 divisors (see below), whose sum is σ = 39902208. Its totient is φ = 2573568.

The previous prime is 11261023. The next prime is 11261057. The reversal of 11261040 is 4016211.

11261040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11261023) and next prime (11261057).

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

It is a super-2 number, since 2×11261040² = 253622043763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 5031.

Almost surely, 2^11261040 is an apocalyptic number.

11261040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261040 is an abundant number, since it is smaller than the sum of its proper divisors (28641168).

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

11261040 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11261039) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (6720).

11261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11261040 is about 3355.7473087228. The cubic root of 11261040 is about 224.1435092293.

Adding to 11261040 its reverse (4016211), we get a palindrome (15277251).

The spelling of 11261040 in words is "eleven million, two hundred sixty-one thousand, forty".