642183000 has 256 divisors, whose sum is σ = 2151152640. Its totient is φ = 159104000.

The previous prime is 642182911. The next prime is 642183019. The reversal of 642183000 is 381246.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2828887 + ... + 2829113.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^642183000 is an apocalyptic number.

642183000 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 642183000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

642183000 is an abundant number, since it is smaller than the sum of its proper divisors (1508969640).

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

642183000 is a wasteful number, since it uses less digits than its factorization.

642183000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 642183000 is about 25341.3298782838. The cubic root of 642183000 is about 862.7525830287.

The spelling of 642183000 in words is "six hundred forty-two million, one hundred eighty-three thousand".