935940096 has 520 divisors, whose sum is σ = 3552141824. Its totient is φ = 238878720.

The previous prime is 935940079. The next prime is 935940101. The reversal of 935940096 is 690049539.

It is a happy number.

It is a super-3 number, since 3×935940096³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191601 + ... + 30191631.

Almost surely, 2^935940096 is an apocalyptic number.

935940096 is a gapful number since it is divisible by the number (96) 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 935940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776070912).

935940096 is an abundant number, since it is smaller than the sum of its proper divisors (2616201728).

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

935940096 is a wasteful number, since it uses less digits than its factorization.

935940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 935940096 is about 30593.1380541454. The cubic root of 935940096 is about 978.1737807040.

It can be divided in two parts, 9359 and 40096, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 935940096 in words is "nine hundred thirty-five million, nine hundred forty thousand, ninety-six".