42162000 has 80 divisors (see below), whose sum is σ = 135949632. Its totient is φ = 11241600.

The previous prime is 42161983. The next prime is 42162019. The reversal of 42162000 is 26124.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 9513.

Almost surely, 2^42162000 is an apocalyptic number.

42162000 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 42162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67974816).

42162000 is an abundant number, since it is smaller than the sum of its proper divisors (93787632).

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

42162000 is a wasteful number, since it uses less digits than its factorization.

42162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42162000 is about 6493.2272407486. The cubic root of 42162000 is about 348.0490088198.

Adding to 42162000 its reverse (26124), we get a palindrome (42188124).

It can be divided in two parts, 4216 and 2000, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 42162000 in words is "forty-two million, one hundred sixty-two thousand".