642084000 has 96 divisors (see below), whose sum is σ = 2103506496. Its totient is φ = 171219200.

The previous prime is 642083971. The next prime is 642084019. The reversal of 642084000 is 480246.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14754 + ... + 38753.

It is an arithmetic number, because the mean of its divisors is an integer number (21911526).

Almost surely, 2^642084000 is an apocalyptic number.

642084000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642084000 is an abundant number, since it is smaller than the sum of its proper divisors (1461422496).

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

642084000 is a wasteful number, since it uses less digits than its factorization.

642084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53535 (or 53517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 642084000 is about 25339.3764722023. The cubic root of 642084000 is about 862.7082462923.

The spelling of 642084000 in words is "six hundred forty-two million, eighty-four thousand".