42076000 has 96 divisors (see below), whose sum is σ = 105592032. Its totient is φ = 16473600.

The previous prime is 42075983. The next prime is 42076009. The reversal of 42076000 is 67024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42076009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267922 + ... + 268078.

It is an arithmetic number, because the mean of its divisors is an integer number (1099917).

Almost surely, 2^42076000 is an apocalyptic number.

42076000 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 42076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52796016).

42076000 is an abundant number, since it is smaller than the sum of its proper divisors (63516032).

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

42076000 is a wasteful number, since it uses less digits than its factorization.

42076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 42076000 is about 6486.6015755556. The cubic root of 42076000 is about 347.8122032502.

The spelling of 42076000 in words is "forty-two million, seventy-six thousand".