813618 has 64 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 233280.

The previous prime is 813613. The next prime is 813623. The reversal of 813618 is 816318.

It is an interprime number because it is at equal distance from previous prime (813613) and next prime (813623).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 813591 and 813600.

It is not an unprimeable number, because it can be changed into a prime (813613) 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, 13308 + ... + 13368.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁸¹³⁶¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041600).

813618 is an abundant number, since it is smaller than the sum of its proper divisors (1269582).

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

813618 is a wasteful number, since it uses less digits than its factorization.

813618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 813618 is about 902.0077604988. The cubic root of 813618 is about 93.3555587660.

It can be divided in two parts, 813 and 618, that added together give a triangular number (1431 = T₅₃).

The spelling of 813618 in words is "eight hundred thirteen thousand, six hundred eighteen".