290629116 has 72 divisors (see below), whose sum is σ = 753624144. Its totient is φ = 94406400.

The previous prime is 290629109. The next prime is 290629139. The reversal of 290629116 is 611926092.

290629116 is a `hidden beast` number, since 29 + 0 + 629 + 1 + 1 + 6 = 666.

290629116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243016 + ... + 244208.

It is an arithmetic number, because the mean of its divisors is an integer number (10467002).

Almost surely, 2^290629116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290629116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376812072).

290629116 is an abundant number, since it is smaller than the sum of its proper divisors (462995028).

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

290629116 is a wasteful number, since it uses less digits than its factorization.

290629116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 290629116 is about 17047.8478407100. The cubic root of 290629116 is about 662.3888911093.

The spelling of 290629116 in words is "two hundred ninety million, six hundred twenty-nine thousand, one hundred sixteen".