29918980 has 96 divisors (see below), whose sum is σ = 81962496. Its totient is φ = 8902656.

The previous prime is 29918969. The next prime is 29918983. The reversal of 29918980 is 8981992.

It is a happy number.

29918980 is a nontrivial binomial coefficient, being equal to C(7736, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 29918980.

It is not an unprimeable number, because it can be changed into a prime (29918983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30457 + ... + 31423.

It is an arithmetic number, because the mean of its divisors is an integer number (853776).

Almost surely, 2^29918980 is an apocalyptic number.

29918980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29918980 is the 7735-th triangular number and also the 3868-th hexagonal number.

29918980 is the 2579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29918980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40981248).

29918980 is an abundant number, since it is smaller than the sum of its proper divisors (52043516).

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

29918980 is a wasteful number, since it uses less digits than its factorization.

29918980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 29918980 is about 5469.8244944422. The cubic root of 29918980 is about 310.4432784316.

The spelling of 29918980 in words is "twenty-nine million, nine hundred eighteen thousand, nine hundred eighty".