29745968 has 40 divisors (see below), whose sum is σ = 66141600. Its totient is φ = 12695040.

The previous prime is 29745959. The next prime is 29745997. The reversal of 29745968 is 86954792.

It is a happy number.

It is a super-2 number, since 2×29745968² = 1769645224514048, which contains 22 as substring.

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, 38708 + ... + 39468.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^29745968 is an apocalyptic number.

29745968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29745968 is an abundant number, since it is smaller than the sum of its proper divisors (36395632).

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

29745968 is a wasteful number, since it uses less digits than its factorization.

29745968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1119 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 50.

The square root of 29745968 is about 5453.9864319597. The cubic root of 29745968 is about 309.8437228264.

The spelling of 29745968 in words is "twenty-nine million, seven hundred forty-five thousand, nine hundred sixty-eight".