29164840 has 32 divisors (see below), whose sum is σ = 66863880. Its totient is φ = 11444992.

The previous prime is 29164781. The next prime is 29164847. The reversal of 29164840 is 4846192.

It can be written as a sum of positive squares in 4 ways, for example, as 18783556 + 10381284 = 4334^2 + 3222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29164796 and 29164805.

It is not an unprimeable number, because it can be changed into a prime (29164847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4759 + ... + 8998.

Almost surely, 2^29164840 is an apocalyptic number.

29164840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29164840 is an abundant number, since it is smaller than the sum of its proper divisors (37699040).

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

29164840 is a wasteful number, since it uses less digits than its factorization.

29164840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 29164840 is about 5400.4481295537. The cubic root of 29164840 is about 307.8126988498.

The spelling of 29164840 in words is "twenty-nine million, one hundred sixty-four thousand, eight hundred forty".