290137680 has 320 divisors, whose sum is σ = 1180876800. Its totient is φ = 64074240.

The previous prime is 290137667. The next prime is 290137681. The reversal of 290137680 is 86731092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290137681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468411 + ... + 469029.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 2^290137680 is an apocalyptic number.

290137680 is a gapful number since it is divisible by the number (20) 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 290137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590438400).

290137680 is an abundant number, since it is smaller than the sum of its proper divisors (890739120).

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

290137680 is a wasteful number, since it uses less digits than its factorization.

290137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 290137680 is about 17033.4283102375. The cubic root of 290137680 is about 662.0153274838.

The spelling of 290137680 in words is "two hundred ninety million, one hundred thirty-seven thousand, six hundred eighty".