653679390 has 128 divisors (see below), whose sum is σ = 1945036800. Its totient is φ = 136908288.

The previous prime is 653679347. The next prime is 653679469. The reversal of 653679390 is 93976356.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405967 + ... + 407573.

It is an arithmetic number, because the mean of its divisors is an integer number (15195600).

Almost surely, 2^653679390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653679390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972518400).

653679390 is an abundant number, since it is smaller than the sum of its proper divisors (1291357410).

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

653679390 is a wasteful number, since it uses less digits than its factorization.

653679390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786.

The product of its (nonzero) digits is 918540, while the sum is 48.

The square root of 653679390 is about 25567.1545151196. The cubic root of 653679390 is about 867.8705086548.

The spelling of 653679390 in words is "six hundred fifty-three million, six hundred seventy-nine thousand, three hundred ninety".