290893680 has 600 divisors, whose sum is σ = 1293104736. Its totient is φ = 59304960.

The previous prime is 290893679. The next prime is 290893697. The reversal of 290893680 is 86398092.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5488534 + ... + 5488586.

Almost surely, 2^290893680 is an apocalyptic number.

290893680 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 290893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646552368).

290893680 is an abundant number, since it is smaller than the sum of its proper divisors (1002211056).

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

290893680 is a wasteful number, since it uses less digits than its factorization.

290893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 290893680 is about 17055.6055301476. The cubic root of 290893680 is about 662.5898242987.

The spelling of 290893680 in words is "two hundred ninety million, eight hundred ninety-three thousand, six hundred eighty".