29460864 has 64 divisors (see below), whose sum is σ = 82877040. Its totient is φ = 9240576.

The previous prime is 29460863. The next prime is 29460929. The reversal of 29460864 is 46806492.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29460863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4272 + ... + 8784.

Almost surely, 2^29460864 is an apocalyptic number.

29460864 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 29460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41438520).

29460864 is an abundant number, since it is smaller than the sum of its proper divisors (53416176).

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

29460864 is a wasteful number, since it uses less digits than its factorization.

29460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 29460864 is about 5427.7862890869. The cubic root of 29460864 is about 308.8506310888.

The spelling of 29460864 in words is "twenty-nine million, four hundred sixty thousand, eight hundred sixty-four".