42864864 has 96 divisors (see below), whose sum is σ = 129620736. Its totient is φ = 12149760.

The previous prime is 42864853. The next prime is 42864869. The reversal of 42864864 is 46846824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) 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 (42).

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 (42864869) 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, 152404 + ... + 152684.

It is an arithmetic number, because the mean of its divisors is an integer number (1350216).

Almost surely, 2^42864864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64810368).

42864864 is an abundant number, since it is smaller than the sum of its proper divisors (86755872).

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

42864864 is a wasteful number, since it uses less digits than its factorization.

42864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 42864864 is about 6547.1263925481. The cubic root of 42864864 is about 349.9724168739.

It can be divided in two parts, 428648 and 64, that multiplied together give a palindrome (27433472).

The spelling of 42864864 in words is "forty-two million, eight hundred sixty-four thousand, eight hundred sixty-four".