42735096 has 96 divisors (see below), whose sum is σ = 121539600. Its totient is φ = 13547520.

The previous prime is 42735089. The next prime is 42735101. The reversal of 42735096 is 69053724.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 42735096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202431 + ... + 202641.

Almost surely, 2^42735096 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 42735096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60769800).

42735096 is an abundant number, since it is smaller than the sum of its proper divisors (78804504).

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

42735096 is a wasteful number, since it uses less digits than its factorization.

42735096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42735096 is about 6537.2085785907. The cubic root of 42735096 is about 349.6188940177.

The spelling of 42735096 in words is "forty-two million, seven hundred thirty-five thousand, ninety-six".