29827980 has 192 divisors, whose sum is σ = 114401280. Its totient is φ = 6283008.

The previous prime is 29827949. The next prime is 29827991. The reversal of 29827980 is 8972892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48837 + ... + 49443.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 2^29827980 is an apocalyptic number.

29827980 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 29827980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).

29827980 is an abundant number, since it is smaller than the sum of its proper divisors (84573300).

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

29827980 is a wasteful number, since it uses less digits than its factorization.

29827980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29827980 is about 5461.4997940126. The cubic root of 29827980 is about 310.1282161265.

The spelling of 29827980 in words is "twenty-nine million, eight hundred twenty-seven thousand, nine hundred eighty".