11142816 has 96 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 3409920.

The previous prime is 11142767. The next prime is 11142821. The reversal of 11142816 is 61824111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74710 + ... + 74858.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^11142816 is an apocalyptic number.

11142816 is a gapful number since it is divisible by the number (16) 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 11142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

11142816 is an abundant number, since it is smaller than the sum of its proper divisors (20609184).

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

11142816 is a wasteful number, since it uses less digits than its factorization.

11142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 11142816 is about 3338.0856789483. The cubic root of 11142816 is about 223.3563581123.

Adding to 11142816 its reverse (61824111), we get a palindrome (72966927).

The spelling of 11142816 in words is "eleven million, one hundred forty-two thousand, eight hundred sixteen".