642817024 has 88 divisors (see below), whose sum is σ = 1343257776. Its totient is φ = 307200000.

The previous prime is 642817013. The next prime is 642817027. The reversal of 642817024 is 420718246.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642817027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2560899 + ... + 2561149.

Almost surely, 2^642817024 is an apocalyptic number.

642817024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642817024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671628888).

642817024 is an abundant number, since it is smaller than the sum of its proper divisors (700440752).

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

642817024 is a wasteful number, since it uses less digits than its factorization.

642817024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 642817024 is about 25353.8364749795. The cubic root of 642817024 is about 863.0364200470.

The spelling of 642817024 in words is "six hundred forty-two million, eight hundred seventeen thousand, twenty-four".