967714020 has 384 divisors, whose sum is σ = 3793305600. Its totient is φ = 199355904.

The previous prime is 967713991. The next prime is 967714037. The reversal of 967714020 is 20417769.

It is a happy number.

967714020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2309371 + ... + 2309789.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2^967714020 is an apocalyptic number.

967714020 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 967714020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896652800).

967714020 is an abundant number, since it is smaller than the sum of its proper divisors (2825591580).

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

967714020 is a wasteful number, since it uses less digits than its factorization.

967714020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 967714020 is about 31108.1021600483. The cubic root of 967714020 is about 989.1200629331.

The spelling of 967714020 in words is "nine hundred sixty-seven million, seven hundred fourteen thousand, twenty".