11291040 has 72 divisors (see below), whose sum is σ = 38535588. Its totient is φ = 3010560.

The previous prime is 11291029. The next prime is 11291051. The reversal of 11291040 is 4019211.

It is an interprime number because it is at equal distance from previous prime (11291029) and next prime (11291051).

It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 242064 = 3324^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2481 + ... + 5360.

Almost surely, 2^11291040 is an apocalyptic number.

11291040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11291040 is an abundant number, since it is smaller than the sum of its proper divisors (27244548).

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

11291040 is a wasteful number, since it uses less digits than its factorization.

11291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11291040 is about 3360.2142788816. The cubic root of 11291040 is about 224.3423760835.

The spelling of 11291040 in words is "eleven million, two hundred ninety-one thousand, forty".