29542968 has 192 divisors, whose sum is σ = 102735360. Its totient is φ = 7744896.

The previous prime is 29542949. The next prime is 29542973. The reversal of 29542968 is 86924592.

Its product of digits (311040) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176821 + ... + 176987.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^29542968 is an apocalyptic number.

29542968 is a gapful number since it is divisible by the number (28) 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 29542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

29542968 is an abundant number, since it is smaller than the sum of its proper divisors (73192392).

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

29542968 is a wasteful number, since it uses less digits than its factorization.

29542968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 29542968 is about 5435.3443313189. The cubic root of 29542968 is about 309.1372752295.

The spelling of 29542968 in words is "twenty-nine million, five hundred forty-two thousand, nine hundred sixty-eight".