969214752 has 288 divisors, whose sum is σ = 3170119680. Its totient is φ = 278208000.

The previous prime is 969214751. The next prime is 969214769. The reversal of 969214752 is 257412969.

969214752 is a `hidden beast` number, since 96 + 92 + 1 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 969214698 and 969214707.

It is not an unprimeable number, because it can be changed into a prime (969214751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6972699 + ... + 6972837.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^969214752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 969214752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

969214752 is an abundant number, since it is smaller than the sum of its proper divisors (2200904928).

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

969214752 is a wasteful number, since it uses less digits than its factorization.

969214752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 969214752 is about 31132.2140555406. The cubic root of 969214752 is about 989.6311083527.

The spelling of 969214752 in words is "nine hundred sixty-nine million, two hundred fourteen thousand, seven hundred fifty-two".