290106972 has 144 divisors (see below), whose sum is σ = 832759200. Its totient is φ = 84602880.

The previous prime is 290106961. The next prime is 290107007. The reversal of 290106972 is 279601092.

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 47 ways as a sum of consecutive naturals, for example, 709104 + ... + 709512.

It is an arithmetic number, because the mean of its divisors is an integer number (5783050).

Almost surely, 2^290106972 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 290106972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416379600).

290106972 is an abundant number, since it is smaller than the sum of its proper divisors (542652228).

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

290106972 is a wasteful number, since it uses less digits than its factorization.

290106972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 290106972 is about 17032.5268824094. The cubic root of 290106972 is about 661.9919708899.

The spelling of 290106972 in words is "two hundred ninety million, one hundred six thousand, nine hundred seventy-two".