29854890 has 192 divisors, whose sum is σ = 94348800. Its totient is φ = 6469632.

The previous prime is 29854849. The next prime is 29854921. The reversal of 29854890 is 9845892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377871 + ... + 377949.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^29854890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29854890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

29854890 is an abundant number, since it is smaller than the sum of its proper divisors (64493910).

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

29854890 is a wasteful number, since it uses less digits than its factorization.

29854890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 29854890 is about 5463.9628476043. The cubic root of 29854890 is about 310.2214512014.

It can be divided in two parts, 2985 and 4890, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 29854890 in words is "twenty-nine million, eight hundred fifty-four thousand, eight hundred ninety".