814968 has 128 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 211680.

The previous prime is 814949. The next prime is 814991. The reversal of 814968 is 869418.

814968 = 7³ + 8³ + ... + 42³.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814968.

It is an unprimeable number.

814968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74083 + ... + 74093.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2⁸¹⁴⁹⁶⁸ is an apocalyptic number.

814968 is a gapful number since it is divisible by the number (88) 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 814968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

814968 is an abundant number, since it is smaller than the sum of its proper divisors (2065032).

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

814968 is a wasteful number, since it uses less digits than its factorization.

814968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 23 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 814968 is about 902.7557809286. The cubic root of 814968 is about 93.4071638039.

The spelling of 814968 in words is "eight hundred fourteen thousand, nine hundred sixty-eight".