42736896 has 126 divisors (see below), whose sum is σ = 128460290. Its totient is φ = 14183424.

The previous prime is 42736873. The next prime is 42736907. The reversal of 42736896 is 69863724.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 746496 = 6480^2 + 864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186510 + ... + 186738.

Almost surely, 2^42736896 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 42736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64230145).

42736896 is an abundant number, since it is smaller than the sum of its proper divisors (85723394).

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

42736896 is an frugal number, since it uses more digits than its factorization.

42736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 42736896 is about 6537.3462505821. The cubic root of 42736896 is about 349.6238025919.

The spelling of 42736896 in words is "forty-two million, seven hundred thirty-six thousand, eight hundred ninety-six".