29960160 has 48 divisors (see below), whose sum is σ = 94376016. Its totient is φ = 7989248.

The previous prime is 29960143. The next prime is 29960173. The reversal of 29960160 is 6106992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29960160² = 1795222374451200, 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 7 ways as a sum of consecutive naturals, for example, 30729 + ... + 31688.

It is an arithmetic number, because the mean of its divisors is an integer number (1966167).

Almost surely, 2^29960160 is an apocalyptic number.

29960160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29960160 is an abundant number, since it is smaller than the sum of its proper divisors (64415856).

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

29960160 is a wasteful number, since it uses less digits than its factorization.

29960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62435 (or 62427 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 29960160 is about 5473.5874890240. The cubic root of 29960160 is about 310.5856428374.

The spelling of 29960160 in words is "twenty-nine million, nine hundred sixty thousand, one hundred sixty".