11610816 has 112 divisors (see below), whose sum is σ = 35990784. Its totient is φ = 3234816.

The previous prime is 11610811. The next prime is 11610821. The reversal of 11610816 is 61801611.

11610816 = T₂₉₃ + T₂₉₄ + ... + T₄₅₅.

It is an interprime number because it is at equal distance from previous prime (11610811) and next prime (11610821).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11610816² = 269622096371712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11610811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71151 + ... + 71313.

Almost surely, 2^11610816 is an apocalyptic number.

11610816 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 11610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995392).

11610816 is an abundant number, since it is smaller than the sum of its proper divisors (24379968).

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

11610816 is a wasteful number, since it uses less digits than its factorization.

11610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11610816 is about 3407.4647466995. The cubic root of 11610816 is about 226.4405742478.

The spelling of 11610816 in words is "eleven million, six hundred ten thousand, eight hundred sixteen".