29978160 has 40 divisors (see below), whose sum is σ = 92933040. Its totient is φ = 7994112.

The previous prime is 29978159. The next prime is 29978183. The reversal of 29978160 is 6187992.

It is a tau number, because it is divible by the number of its divisors (40).

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, 62215 + ... + 62694.

It is an arithmetic number, because the mean of its divisors is an integer number (2323326).

Almost surely, 2^29978160 is an apocalyptic number.

29978160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29978160 is an abundant number, since it is smaller than the sum of its proper divisors (62954880).

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

29978160 is a wasteful number, since it uses less digits than its factorization.

29978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124925 (or 124919 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 29978160 is about 5475.2315019550. The cubic root of 29978160 is about 310.6478301149.

The spelling of 29978160 in words is "twenty-nine million, nine hundred seventy-eight thousand, one hundred sixty".