653636742 has 64 divisors (see below), whose sum is σ = 1487462400. Its totient is φ = 189665280.

The previous prime is 653636717. The next prime is 653636759. The reversal of 653636742 is 247636356.

It is a junction number, because it is equal to n+sod(n) for n = 653636694 and 653636703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241734 + ... + 244422.

It is an arithmetic number, because the mean of its divisors is an integer number (23241600).

Almost surely, 2^653636742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653636742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743731200).

653636742 is an abundant number, since it is smaller than the sum of its proper divisors (833825658).

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

653636742 is a wasteful number, since it uses less digits than its factorization.

653636742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861.

The product of its digits is 544320, while the sum is 42.

The square root of 653636742 is about 25566.3204626712. The cubic root of 653636742 is about 867.8516340878.

The spelling of 653636742 in words is "six hundred fifty-three million, six hundred thirty-six thousand, seven hundred forty-two".