814968000 has 896 divisors, whose sum is σ = 3803904000. Its totient is φ = 169344000.

The previous prime is 814967999. The next prime is 814968001. The reversal of 814968000 is 869418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (814967999) and next prime (814968001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74087995 + ... + 74088005.

Almost surely, 2^814968000 is an apocalyptic number.

814968000 is a gapful number since it is divisible by the number (80) 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 814968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901952000).

814968000 is an abundant number, since it is smaller than the sum of its proper divisors (2988936000).

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

814968000 is a wasteful number, since it uses less digits than its factorization.

814968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

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

The square root of 814968000 is about 28547.6443861836. The cubic root of 814968000 is about 934.0716380391.

The spelling of 814968000 in words is "eight hundred fourteen million, nine hundred sixty-eight thousand".