753642 has 24 divisors (see below), whose sum is σ = 1649700. Its totient is φ = 248640.

The previous prime is 753631. The next prime is 753647. The reversal of 753642 is 246357.

753642 = 24² + 25² + ... + 131².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 741321 + 12321 = 861^2 + 111^2 .

It is not an unprimeable number, because it can be changed into a prime (753647) by changing a digit.

753642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2542 + ... + 2822.

2⁷⁵³⁶⁴² is an apocalyptic number.

753642 is an abundant number, since it is smaller than the sum of its proper divisors (896058).

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

753642 is a wasteful number, since it uses less digits than its factorization.

753642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 753642 is about 868.1255669545. The cubic root of 753642 is about 91.0028578582.

Adding to 753642 its reverse (246357), we get a palindrome (999999).

The spelling of 753642 in words is "seven hundred fifty-three thousand, six hundred forty-two".