969276672 has 576 divisors, whose sum is σ = 3736104960. Its totient is φ = 240869376.

The previous prime is 969276643. The next prime is 969276683. The reversal of 969276672 is 276672969.

It is a happy number.

969276672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466783 + ... + 14466849.

Almost surely, 2^969276672 is an apocalyptic number.

969276672 is a gapful number since it is divisible by the number (92) 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 969276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868052480).

969276672 is an abundant number, since it is smaller than the sum of its proper divisors (2766828288).

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

969276672 is a wasteful number, since it uses less digits than its factorization.

969276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 969276672 is about 31133.2085079582. The cubic root of 969276672 is about 989.6521826823.

The spelling of 969276672 in words is "nine hundred sixty-nine million, two hundred seventy-six thousand, six hundred seventy-two".