29568420 has 144 divisors (see below), whose sum is σ = 105950208. Its totient is φ = 6531840.

The previous prime is 29568419. The next prime is 29568449. The reversal of 29568420 is 2486592.

It is a happy number.

It is a super-2 number, since 2×29568420² = 1748582922592800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38682 + ... + 39438.

Almost surely, 2^29568420 is an apocalyptic number.

29568420 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 29568420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52975104).

29568420 is an abundant number, since it is smaller than the sum of its proper divisors (76381788).

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

29568420 is a wasteful number, since it uses less digits than its factorization.

29568420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 29568420 is about 5437.6851692609. The cubic root of 29568420 is about 309.2260262252.

The spelling of 29568420 in words is "twenty-nine million, five hundred sixty-eight thousand, four hundred twenty".