653541642 has 128 divisors (see below), whose sum is σ = 1728760320. Its totient is φ = 180956160.

The previous prime is 653541601. The next prime is 653541667. The reversal of 653541642 is 246145356.

653541642 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 4 + 1 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 653541597 and 653541606.

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, 273292 + ... + 275672.

It is an arithmetic number, because the mean of its divisors is an integer number (13505940).

Almost surely, 2^653541642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653541642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864380160).

653541642 is an abundant number, since it is smaller than the sum of its proper divisors (1075218678).

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

653541642 is a wasteful number, since it uses less digits than its factorization.

653541642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2439 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 653541642 is about 25564.4605262853. The cubic root of 653541642 is about 867.8095430770.

Adding to 653541642 its reverse (246145356), we get a palindrome (899686998).

The spelling of 653541642 in words is "six hundred fifty-three million, five hundred forty-one thousand, six hundred forty-two".