290642640 has 80 divisors (see below), whose sum is σ = 932083200. Its totient is φ = 74830336.

The previous prime is 290642629. The next prime is 290642647. The reversal of 290642640 is 46246092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290642647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13920 + ... + 27839.

It is an arithmetic number, because the mean of its divisors is an integer number (11651040).

Almost surely, 2^290642640 is an apocalyptic number.

290642640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

290642640 is the 13920-th pentagonal number.

It is an amenable number.

290642640 is an abundant number, since it is smaller than the sum of its proper divisors (641440560).

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

290642640 is a wasteful number, since it uses less digits than its factorization.

290642640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41804 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 290642640 is about 17048.2444844037. The cubic root of 290642640 is about 662.3991653820.

The spelling of 290642640 in words is "two hundred ninety million, six hundred forty-two thousand, six hundred forty".