29189664 has 72 divisors (see below), whose sum is σ = 94872960. Its totient is φ = 8339328.

The previous prime is 29189651. The next prime is 29189683. The reversal of 29189664 is 46698192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5224 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1317680).

Almost surely, 2^29189664 is an apocalyptic number.

29189664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29189664 is an abundant number, since it is smaller than the sum of its proper divisors (65683296).

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

29189664 is a wasteful number, since it uses less digits than its factorization.

29189664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14502 (or 14491 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29189664 is about 5402.7459684868. The cubic root of 29189664 is about 307.9000068950.

The spelling of 29189664 in words is "twenty-nine million, one hundred eighty-nine thousand, six hundred sixty-four".