29940960 has 288 divisors, whose sum is σ = 117210240. Its totient is φ = 6386688.

The previous prime is 29940949. The next prime is 29940983. The reversal of 29940960 is 6904992.

It is a super-2 number, since 2×29940960² = 1792922171443200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446847 + ... + 446913.

It is an arithmetic number, because the mean of its divisors is an integer number (406980).

Almost surely, 2^29940960 is an apocalyptic number.

29940960 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 29940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

29940960 is an abundant number, since it is smaller than the sum of its proper divisors (87269280).

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

29940960 is a wasteful number, since it uses less digits than its factorization.

29940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 29940960 is about 5471.8333307951. The cubic root of 29940960 is about 310.5192822812.

The spelling of 29940960 in words is "twenty-nine million, nine hundred forty thousand, nine hundred sixty".