29276964 has 60 divisors (see below), whose sum is σ = 77331100. Its totient is φ = 9657792.

The previous prime is 29276957. The next prime is 29276977. The reversal of 29276964 is 46967292.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 10614564 = 4320^2 + 3258^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34902 + ... + 35730.

Almost surely, 2^29276964 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 29276964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38665550).

29276964 is an abundant number, since it is smaller than the sum of its proper divisors (48054136).

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

29276964 is a wasteful number, since it uses less digits than its factorization.

29276964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29276964 is about 5410.8191616427. The cubic root of 29276964 is about 308.2066555994.

The spelling of 29276964 in words is "twenty-nine million, two hundred seventy-six thousand, nine hundred sixty-four".