969714000 has 240 divisors, whose sum is σ = 3587248080. Its totient is φ = 243302400.

The previous prime is 969713989. The next prime is 969714013. The reversal of 969714000 is 417969.

It can be written as a sum of positive squares in 8 ways, for example, as 74028816 + 895685184 = 8604^2 + 29928^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304416 + ... + 307584.

It is an arithmetic number, because the mean of its divisors is an integer number (14946867).

Almost surely, 2^969714000 is an apocalyptic number.

969714000 is a gapful number since it is divisible by the number (90) 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 969714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793624040).

969714000 is an abundant number, since it is smaller than the sum of its proper divisors (2617534080).

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

969714000 is a wasteful number, since it uses less digits than its factorization.

969714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 969714000 is about 31140.2312130145. The cubic root of 969714000 is about 989.8010007121.

The spelling of 969714000 in words is "nine hundred sixty-nine million, seven hundred fourteen thousand".