29872940 has 48 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 11212992.

The previous prime is 29872937. The next prime is 29872957. The reversal of 29872940 is 4927892.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47951 + ... + 48569.

It is an arithmetic number, because the mean of its divisors is an integer number (1388800).

Almost surely, 2^29872940 is an apocalyptic number.

29872940 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 29872940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

29872940 is an abundant number, since it is smaller than the sum of its proper divisors (36789460).

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

29872940 is a wasteful number, since it uses less digits than its factorization.

29872940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 29872940 is about 5465.6143296065. The cubic root of 29872940 is about 310.2839576462.

The spelling of 29872940 in words is "twenty-nine million, eight hundred seventy-two thousand, nine hundred forty".