29146968 has 24 divisors (see below), whose sum is σ = 78939900. Its totient is φ = 9715632.

The previous prime is 29146967. The next prime is 29146981. The reversal of 29146968 is 86964192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29146961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202338 + ... + 202481.

Almost surely, 2^29146968 is an apocalyptic number.

It is an amenable number.

29146968 is an abundant number, since it is smaller than the sum of its proper divisors (49792932).

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

29146968 is a wasteful number, since it uses less digits than its factorization.

29146968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404831 (or 404824 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 29146968 is about 5398.7931984843. The cubic root of 29146968 is about 307.7498108810.

The spelling of 29146968 in words is "twenty-nine million, one hundred forty-six thousand, nine hundred sixty-eight".