290139920 has 80 divisors (see below), whose sum is σ = 788937600. Its totient is φ = 97155072.

The previous prime is 290139853. The next prime is 290139947. The reversal of 290139920 is 29931092.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18056 + ... + 30104.

It is an arithmetic number, because the mean of its divisors is an integer number (9861720).

Almost surely, 2^290139920 is an apocalyptic number.

290139920 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 290139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394468800).

290139920 is an abundant number, since it is smaller than the sum of its proper divisors (498797680).

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

290139920 is a wasteful number, since it uses less digits than its factorization.

290139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 290139920 is about 17033.4940631686. The cubic root of 290139920 is about 662.0170311698.

The spelling of 290139920 in words is "two hundred ninety million, one hundred thirty-nine thousand, nine hundred twenty".