642087000 has 160 divisors (see below), whose sum is σ = 2244733920. Its totient is φ = 171201600.

The previous prime is 642086993. The next prime is 642087031. The reversal of 642087000 is 780246.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 77037 + ... + 84963.

It is an arithmetic number, because the mean of its divisors is an integer number (14029587).

Almost surely, 2^642087000 is an apocalyptic number.

642087000 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 642087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122366960).

642087000 is an abundant number, since it is smaller than the sum of its proper divisors (1602646920).

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

642087000 is a wasteful number, since it uses less digits than its factorization.

642087000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 642087000 is about 25339.4356685385. The cubic root of 642087000 is about 862.7095898967.

The spelling of 642087000 in words is "six hundred forty-two million, eighty-seven thousand".