53745642 has 48 divisors (see below), whose sum is σ = 126828000. Its totient is φ = 16384032.

The previous prime is 53745631. The next prime is 53745647. The reversal of 53745642 is 24654735.

53745642 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53745597 and 53745606.

It is not an unprimeable number, because it can be changed into a prime (53745647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7209 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (2642250).

Almost surely, 2^53745642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53745642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63414000).

53745642 is an abundant number, since it is smaller than the sum of its proper divisors (73082358).

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

53745642 is a wasteful number, since it uses less digits than its factorization.

53745642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5472 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 53745642 is about 7331.1419301498. The cubic root of 53745642 is about 377.3819159048.

The spelling of 53745642 in words is "fifty-three million, seven hundred forty-five thousand, six hundred forty-two".