290681664 has 224 divisors, whose sum is σ = 961314816. Its totient is φ = 75479040.

The previous prime is 290681639. The next prime is 290681683. The reversal of 290681664 is 466186092.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2218879 + ... + 2219009.

It is an arithmetic number, because the mean of its divisors is an integer number (4291584).

Almost surely, 2^290681664 is an apocalyptic number.

290681664 is a gapful number since it is divisible by the number (24) 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 290681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480657408).

290681664 is an abundant number, since it is smaller than the sum of its proper divisors (670633152).

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

290681664 is a wasteful number, since it uses less digits than its factorization.

290681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 290681664 is about 17049.3889626579. The cubic root of 290681664 is about 662.4288103878.

The spelling of 290681664 in words is "two hundred ninety million, six hundred eighty-one thousand, six hundred sixty-four".