29164240 has 80 divisors (see below), whose sum is σ = 81601920. Its totient is φ = 9469440.

The previous prime is 29164181. The next prime is 29164249. The reversal of 29164240 is 4246192.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 29164199 and 29164208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29164249) 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 15 ways as a sum of consecutive naturals, for example, 9270 + ... + 12010.

It is an arithmetic number, because the mean of its divisors is an integer number (1020024).

Almost surely, 2^29164240 is an apocalyptic number.

29164240 is a gapful number since it is divisible by the number (20) 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 29164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800960).

29164240 is an abundant number, since it is smaller than the sum of its proper divisors (52437680).

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

29164240 is a wasteful number, since it uses less digits than its factorization.

29164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 29164240 is about 5400.3925783224. The cubic root of 29164240 is about 307.8105879875.

The spelling of 29164240 in words is "twenty-nine million, one hundred sixty-four thousand, two hundred forty".