11293920 has 288 divisors, whose sum is σ = 45287424. Its totient is φ = 2534400.

The previous prime is 11293913. The next prime is 11293927. The reversal of 11293920 is 2939211.

It is an interprime number because it is at equal distance from previous prime (11293913) and next prime (11293927).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293927) 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, 364305 + ... + 364335.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^11293920 is an apocalyptic number.

11293920 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 11293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

11293920 is an abundant number, since it is smaller than the sum of its proper divisors (33993504).

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

11293920 is a wasteful number, since it uses less digits than its factorization.

11293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11293920 is about 3360.6427956568. The cubic root of 11293920 is about 224.3614487617.

It can be divided in two parts, 1 and 1293920, that added together give a palindrome (1293921).

The spelling of 11293920 in words is "eleven million, two hundred ninety-three thousand, nine hundred twenty".