29200920 has 64 divisors (see below), whose sum is σ = 100120320. Its totient is φ = 6674304.

The previous prime is 29200909. The next prime is 29200921. The reversal of 29200920 is 2900292.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29200921) 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, 16542 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (1564380).

Almost surely, 2^29200920 is an apocalyptic number.

29200920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29200920 is an abundant number, since it is smaller than the sum of its proper divisors (70919400).

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

29200920 is a wasteful number, since it uses less digits than its factorization.

29200920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34784 (or 34780 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 29200920 is about 5403.7875605912. The cubic root of 29200920 is about 307.9395788601.

The spelling of 29200920 in words is "twenty-nine million, two hundred thousand, nine hundred twenty".