29483664 has 80 divisors (see below), whose sum is σ = 88946688. Its totient is φ = 8240256.

The previous prime is 29483659. The next prime is 29483693. The reversal of 29483664 is 46638492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14859 + ... + 16725.

Almost surely, 2^29483664 is an apocalyptic number.

29483664 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 29483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44473344).

29483664 is an abundant number, since it is smaller than the sum of its proper divisors (59463024).

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

29483664 is a wasteful number, since it uses less digits than its factorization.

29483664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 29483664 is about 5429.8861866525. The cubic root of 29483664 is about 308.9302845414.

The spelling of 29483664 in words is "twenty-nine million, four hundred eighty-three thousand, six hundred sixty-four".