29145984 has 96 divisors (see below), whose sum is σ = 90117000. Its totient is φ = 8322048.

The previous prime is 29145979. The next prime is 29146049. The reversal of 29145984 is 48954192.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18042 + ... + 19590.

Almost surely, 2^29145984 is an apocalyptic number.

29145984 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 29145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45058500).

29145984 is an abundant number, since it is smaller than the sum of its proper divisors (60971016).

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

29145984 is a wasteful number, since it uses less digits than its factorization.

29145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1561 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 29145984 is about 5398.7020662378. The cubic root of 29145984 is about 307.7463476366.

The spelling of 29145984 in words is "twenty-nine million, one hundred forty-five thousand, nine hundred eighty-four".