42987000 has 256 divisors, whose sum is σ = 161740800. Its totient is φ = 9292800.

The previous prime is 42986989. The next prime is 42987011. The reversal of 42987000 is 78924.

It is an interprime number because it is at equal distance from previous prime (42986989) and next prime (42987011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482956 + ... + 483044.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^42987000 is an apocalyptic number.

42987000 is a gapful number since it is divisible by the number (40) 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 42987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

42987000 is an abundant number, since it is smaller than the sum of its proper divisors (118753800).

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

42987000 is a wasteful number, since it uses less digits than its factorization.

42987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 42987000 is about 6556.4472086642. The cubic root of 42987000 is about 350.3044969183.

The spelling of 42987000 in words is "forty-two million, nine hundred eighty-seven thousand".