29958080 has 56 divisors (see below), whose sum is σ = 75547728. Its totient is φ = 11276288.

The previous prime is 29958031. The next prime is 29958107. The reversal of 29958080 is 8085992.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687 + ... + 8193.

Almost surely, 2^29958080 is an apocalyptic number.

29958080 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 29958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37773864).

29958080 is an abundant number, since it is smaller than the sum of its proper divisors (45589648).

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

29958080 is a wasteful number, since it uses less digits than its factorization.

29958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 29958080 is about 5473.3974823687. The cubic root of 29958080 is about 310.5784551468.

The spelling of 29958080 in words is "twenty-nine million, nine hundred fifty-eight thousand, eighty".