42147864 has 144 divisors (see below), whose sum is σ = 131082120. Its totient is φ = 12597120.

The previous prime is 42147857. The next prime is 42147893. The reversal of 42147864 is 46874124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 577332 + ... + 577404.

Almost surely, 2^42147864 is an apocalyptic number.

42147864 is a gapful number since it is divisible by the number (44) 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 42147864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65541060).

42147864 is an abundant number, since it is smaller than the sum of its proper divisors (88934256).

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

42147864 is an equidigital number, since it uses as much as digits as its factorization.

42147864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42147864 is about 6492.1386306825. The cubic root of 42147864 is about 348.0101067219.

The spelling of 42147864 in words is "forty-two million, one hundred forty-seven thousand, eight hundred sixty-four".