42765096 has 64 divisors (see below), whose sum is σ = 121720320. Its totient is φ = 12393920.

The previous prime is 42765083. The next prime is 42765097. The reversal of 42765096 is 69056724.

It is not an unprimeable number, because it can be changed into a prime (42765097) 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, 2551 + ... + 9593.

It is an arithmetic number, because the mean of its divisors is an integer number (1901880).

Almost surely, 2^42765096 is an apocalyptic number.

42765096 is a gapful number since it is divisible by the number (46) 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 42765096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60860160).

42765096 is an abundant number, since it is smaller than the sum of its proper divisors (78955224).

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

42765096 is a wasteful number, since it uses less digits than its factorization.

42765096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 42765096 is about 6539.5027333888. The cubic root of 42765096 is about 349.7006856007.

The spelling of 42765096 in words is "forty-two million, seven hundred sixty-five thousand, ninety-six".