11315640 has 128 divisors (see below), whose sum is σ = 40896000. Its totient is φ = 2446848.

The previous prime is 11315611. The next prime is 11315641. The reversal of 11315640 is 4651311.

11315640 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

11315640 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11315641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15606 + ... + 16314.

It is an arithmetic number, because the mean of its divisors is an integer number (319500).

Almost surely, 2^11315640 is an apocalyptic number.

11315640 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 11315640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20448000).

11315640 is an abundant number, since it is smaller than the sum of its proper divisors (29580360).

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

11315640 is a wasteful number, since it uses less digits than its factorization.

11315640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 11315640 is about 3363.8727681052. The cubic root of 11315640 is about 224.5051842130.

Adding to 11315640 its reverse (4651311), we get a palindrome (15966951).

It can be divided in two parts, 113 and 15640, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 11315640 in words is "eleven million, three hundred fifteen thousand, six hundred forty".