207042000 has 160 divisors (see below), whose sum is σ = 728417664. Its totient is φ = 50176000.

The previous prime is 207041999. The next prime is 207042007. The reversal of 207042000 is 240702.

207042000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207042007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64432 + ... + 67568.

Almost surely, 2^207042000 is an apocalyptic number.

207042000 is a gapful number since it is divisible by the number (20) 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 207042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364208832).

207042000 is an abundant number, since it is smaller than the sum of its proper divisors (521375664).

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

207042000 is a wasteful number, since it uses less digits than its factorization.

207042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 207042000 is about 14388.9540968063. The cubic root of 207042000 is about 591.5881753533.

Adding to 207042000 its reverse (240702), we get a palindrome (207282702).

The spelling of 207042000 in words is "two hundred seven million, forty-two thousand".