642264024 has 64 divisors (see below), whose sum is σ = 1644825600. Its totient is φ = 208894464.

The previous prime is 642264023. The next prime is 642264031. The reversal of 642264024 is 420462246.

It is a junction number, because it is equal to n+sod(n) for n = 642263982 and 642264000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642264023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494544 + ... + 495840.

It is an arithmetic number, because the mean of its divisors is an integer number (25700400).

Almost surely, 2^642264024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642264024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822412800).

642264024 is an abundant number, since it is smaller than the sum of its proper divisors (1002561576).

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

642264024 is a wasteful number, since it uses less digits than its factorization.

642264024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 642264024 is about 25342.9284811365. The cubic root of 642264024 is about 862.7888658980.

The spelling of 642264024 in words is "six hundred forty-two million, two hundred sixty-four thousand, twenty-four".