42864192 has 84 divisors (see below), whose sum is σ = 140427456. Its totient is φ = 12245760.

The previous prime is 42864187. The next prime is 42864193. The reversal of 42864192 is 29146824.

42864192 is a `hidden beast` number, since 4 + 2 + 8 + 641 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42864193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1284 + ... + 9347.

Almost surely, 2^42864192 is an apocalyptic number.

42864192 is a gapful number since it is divisible by the number (42) 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 42864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70213728).

42864192 is an abundant number, since it is smaller than the sum of its proper divisors (97563264).

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

42864192 is a wasteful number, since it uses less digits than its factorization.

42864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10656 (or 10643 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42864192 is about 6547.0750721219. The cubic root of 42864192 is about 349.9705880046.

It can be divided in two parts, 428 and 64192, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 42864192 in words is "forty-two million, eight hundred sixty-four thousand, one hundred ninety-two".