29913960 has 64 divisors (see below), whose sum is σ = 90604800. Its totient is φ = 7900416.

The previous prime is 29913953. The next prime is 29913971. The reversal of 29913960 is 6931992.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 11937 + ... + 14223.

It is an arithmetic number, because the mean of its divisors is an integer number (1415700).

Almost surely, 2^29913960 is an apocalyptic number.

29913960 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 29913960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45302400).

29913960 is an abundant number, since it is smaller than the sum of its proper divisors (60690840).

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

29913960 is a wasteful number, since it uses less digits than its factorization.

29913960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 29913960 is about 5469.3655939240. The cubic root of 29913960 is about 310.4259147333.

The spelling of 29913960 in words is "twenty-nine million, nine hundred thirteen thousand, nine hundred sixty".