290961216 has 378 divisors, whose sum is σ = 1067738022. Its totient is φ = 75479040.

The previous prime is 290961211. The next prime is 290961227. The reversal of 290961216 is 612169092.

290961216 is a `hidden beast` number, since 29 + 0 + 9 + 612 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25401600 + 265559616 = 5040^2 + 16296^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290961211) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769826 + ... + 4769886.

Almost surely, 2^290961216 is an apocalyptic number.

290961216 is a gapful number since it is divisible by the number (26) 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 290961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533869011).

290961216 is an abundant number, since it is smaller than the sum of its proper divisors (776776806).

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

290961216 is a wasteful number, since it uses less digits than its factorization.

290961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

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

The square root of 290961216 is about 17057.5852921801. The cubic root of 290961216 is about 662.6410975609.

The spelling of 290961216 in words is "two hundred ninety million, nine hundred sixty-one thousand, two hundred sixteen".