29868264 has 40 divisors (see below), whose sum is σ = 83660610. Its totient is φ = 9955872.

The previous prime is 29868263. The next prime is 29868313. The reversal of 29868264 is 46286892.

It can be written as a sum of positive squares in only one way, i.e., 25583364 + 4284900 = 5058^2 + 2070^2 .

It is a super-2 number, since 2×29868264² = 1784226388747392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (29868263) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22399 + ... + 23694.

Almost surely, 2^29868264 is an apocalyptic number.

29868264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29868264 is an abundant number, since it is smaller than the sum of its proper divisors (53792346).

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

29868264 is a wasteful number, since it uses less digits than its factorization.

29868264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46111 (or 46098 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 29868264 is about 5465.1865475938. The cubic root of 29868264 is about 310.2677672579.

The spelling of 29868264 in words is "twenty-nine million, eight hundred sixty-eight thousand, two hundred sixty-four".