390218136 has 128 divisors (see below), whose sum is σ = 1287912960. Its totient is φ = 95385600.

The previous prime is 390218123. The next prime is 390218137. The reversal of 390218136 is 631812093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 390218097 and 390218106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390218137) 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 31 ways as a sum of consecutive naturals, for example, 25206 + ... + 37626.

It is an arithmetic number, because the mean of its divisors is an integer number (10061820).

Almost surely, 2^390218136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390218136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643956480).

390218136 is an abundant number, since it is smaller than the sum of its proper divisors (897694824).

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

390218136 is a wasteful number, since it uses less digits than its factorization.

390218136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 390218136 is about 19753.9397589443. The cubic root of 390218136 is about 730.7505485080.

The spelling of 390218136 in words is "three hundred ninety million, two hundred eighteen thousand, one hundred thirty-six".