29274264 has 64 divisors (see below), whose sum is σ = 81765600. Its totient is φ = 9704448.

The previous prime is 29274247. The next prime is 29274313. The reversal of 29274264 is 46247292.

29274264 = 12² + 13² + ... + 444².

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67392 + ... + 67824.

Almost surely, 2^29274264 is an apocalyptic number.

29274264 is a gapful number since it is divisible by the number (24) 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 29274264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40882800).

29274264 is an abundant number, since it is smaller than the sum of its proper divisors (52491336).

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

29274264 is a wasteful number, since it uses less digits than its factorization.

29274264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 29274264 is about 5410.5696557756. The cubic root of 29274264 is about 308.1971807605.

The spelling of 29274264 in words is "twenty-nine million, two hundred seventy-four thousand, two hundred sixty-four".