10814040 has 256 divisors, whose sum is σ = 41472000. Its totient is φ = 2488320.

The previous prime is 10814039. The next prime is 10814047. The reversal of 10814040 is 4041801.

It is a super-2 number, since 2×10814040² = 233886922243200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10814047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348825 + ... + 348855.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^10814040 is an apocalyptic number.

10814040 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 10814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

10814040 is an abundant number, since it is smaller than the sum of its proper divisors (30657960).

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

10814040 is a wasteful number, since it uses less digits than its factorization.

10814040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10814040 is about 3288.4707692178. The cubic root of 10814040 is about 221.1376332606.

Adding to 10814040 its reverse (4041801), we get a palindrome (14855841).

The spelling of 10814040 in words is "ten million, eight hundred fourteen thousand, forty".