29086320 has 80 divisors (see below), whose sum is σ = 95484960. Its totient is φ = 7299072.

The previous prime is 29086307. The next prime is 29086327. The reversal of 29086320 is 2368092.

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

It is a super-2 number, since 2×29086320² = 1692028022284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29086327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (1193562).

Almost surely, 2^29086320 is an apocalyptic number.

29086320 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 29086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742480).

29086320 is an abundant number, since it is smaller than the sum of its proper divisors (66398640).

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

29086320 is a wasteful number, since it uses less digits than its factorization.

29086320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29086320 is about 5393.1734628139. The cubic root of 29086320 is about 307.5362109515.

The spelling of 29086320 in words is "twenty-nine million, eighty-six thousand, three hundred twenty".