29927920 has 80 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 10707200.

The previous prime is 29927917. The next prime is 29927929. The reversal of 29927920 is 2972992.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29927929) 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, 62241 + ... + 62719.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^29927920 is an apocalyptic number.

29927920 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 29927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

29927920 is an abundant number, since it is smaller than the sum of its proper divisors (47210000).

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

29927920 is a wasteful number, since it uses less digits than its factorization.

29927920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 29927920 is about 5470.6416442681. The cubic root of 29927920 is about 310.4741962250.

The spelling of 29927920 in words is "twenty-nine million, nine hundred twenty-seven thousand, nine hundred twenty".