29998080 has 352 divisors, whose sum is σ = 125767680. Its totient is φ = 6635520.

The previous prime is 29998069. The next prime is 29998099. The reversal of 29998080 is 8089992.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967665 + ... + 967695.

Almost surely, 2^29998080 is an apocalyptic number.

29998080 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 29998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62883840).

29998080 is an abundant number, since it is smaller than the sum of its proper divisors (95769600).

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

29998080 is a wasteful number, since it uses less digits than its factorization.

29998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 29998080 is about 5477.0503010288. The cubic root of 29998080 is about 310.7166216913.

The spelling of 29998080 in words is "twenty-nine million, nine hundred ninety-eight thousand, eighty".