11292840 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 2612736.

The previous prime is 11292833. The next prime is 11292847. The reversal of 11292840 is 4829211.

It is an interprime number because it is at equal distance from previous prime (11292833) and next prime (11292847).

It is not an unprimeable number, because it can be changed into a prime (11292847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88857 + ... + 88983.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^11292840 is an apocalyptic number.

11292840 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 11292840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

11292840 is an abundant number, since it is smaller than the sum of its proper divisors (30639960).

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

11292840 is a wasteful number, since it uses less digits than its factorization.

11292840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11292840 is about 3360.4821082696. The cubic root of 11292840 is about 224.3542968874.

It can be divided in two parts, 1129 and 2840, that added together give a square (3969 = 63²).

The spelling of 11292840 in words is "eleven million, two hundred ninety-two thousand, eight hundred forty".