42893664 has 96 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 12864000.

The previous prime is 42893663. The next prime is 42893687. The reversal of 42893664 is 46639824.

It is a happy number.

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

It is a super-2 number, since 2×42893664² = 3679732822689792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42893663) 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, 159322 + ... + 159590.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 2^42893664 is an apocalyptic number.

42893664 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 42893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42893664 is an abundant number, since it is smaller than the sum of its proper divisors (81211296).

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

42893664 is a wasteful number, since it uses less digits than its factorization.

42893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 42893664 is about 6549.3254614502. The cubic root of 42893664 is about 350.0507790270.

The spelling of 42893664 in words is "forty-two million, eight hundred ninety-three thousand, six hundred sixty-four".