29471064 has 96 divisors (see below), whose sum is σ = 89594880. Its totient is φ = 7911936.

The previous prime is 29471053. The next prime is 29471077. The reversal of 29471064 is 46017492.

It is a happy number.

It is a super-2 number, since 2×29471064² = 1737087226584192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48249 + ... + 48855.

It is an arithmetic number, because the mean of its divisors is an integer number (933280).

Almost surely, 2^29471064 is an apocalyptic number.

29471064 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 29471064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44797440).

29471064 is an abundant number, since it is smaller than the sum of its proper divisors (60123816).

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

29471064 is a wasteful number, since it uses less digits than its factorization.

29471064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 29471064 is about 5428.7258173535. The cubic root of 29471064 is about 308.8862706064.

The spelling of 29471064 in words is "twenty-nine million, four hundred seventy-one thousand, sixty-four".