642312600 has 96 divisors (see below), whose sum is σ = 2045055120. Its totient is φ = 166648320.

The previous prime is 642312589. The next prime is 642312611. The reversal of 642312600 is 6213246.

It is an interprime number because it is at equal distance from previous prime (642312589) and next prime (642312611).

It is a super-2 number, since 2×642312600² = 825130952237520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7734 + ... + 36666.

Almost surely, 2^642312600 is an apocalyptic number.

642312600 is a gapful number since it is divisible by the number (60) 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 642312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022527560).

642312600 is an abundant number, since it is smaller than the sum of its proper divisors (1402742520).

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

642312600 is a wasteful number, since it uses less digits than its factorization.

642312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989 (or 28980 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 642312600 is about 25343.8868368686. The cubic root of 642312600 is about 862.8106169608.

Adding to 642312600 its reverse (6213246), we get a palindrome (648525846).

The spelling of 642312600 in words is "six hundred forty-two million, three hundred twelve thousand, six hundred".