42136864 has 96 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 16369920.

The previous prime is 42136847. The next prime is 42136873. The reversal of 42136864 is 46863124.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120562 + ... + 120910.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 2^42136864 is an apocalyptic number.

42136864 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 42136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

42136864 is an abundant number, since it is smaller than the sum of its proper divisors (63703136).

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

42136864 is a wasteful number, since it uses less digits than its factorization.

42136864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 42136864 is about 6491.2913969410. The cubic root of 42136864 is about 347.9798288392.

Adding to 42136864 its reverse (46863124), we get a palindrome (88999988).

The spelling of 42136864 in words is "forty-two million, one hundred thirty-six thousand, eight hundred sixty-four".