29412864 has 120 divisors (see below), whose sum is σ = 91603512. Its totient is φ = 9031680.

The previous prime is 29412863. The next prime is 29412869. The reversal of 29412864 is 46821492.

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

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29412863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59659 + ... + 60149.

Almost surely, 2^29412864 is an apocalyptic number.

29412864 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 29412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801756).

29412864 is an abundant number, since it is smaller than the sum of its proper divisors (62190648).

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

29412864 is a wasteful number, since it uses less digits than its factorization.

29412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 29412864 is about 5423.3627944293. The cubic root of 29412864 is about 308.6828051797.

It can be divided in two parts, 29412 and 864, that added together give a square (30276 = 174²).

The spelling of 29412864 in words is "twenty-nine million, four hundred twelve thousand, eight hundred sixty-four".