933693696 has 144 divisors (see below), whose sum is σ = 2973774720. Its totient is φ = 287262720.

The previous prime is 933693689. The next prime is 933693707. The reversal of 933693696 is 696396339.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 84661 + ... + 95051.

Almost surely, 2^933693696 is an apocalyptic number.

933693696 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 933693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486887360).

933693696 is an abundant number, since it is smaller than the sum of its proper divisors (2040081024).

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

933693696 is a wasteful number, since it uses less digits than its factorization.

933693696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10409 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The square root of 933693696 is about 30556.4018824206. The cubic root of 933693696 is about 977.3905646462.

The spelling of 933693696 in words is "nine hundred thirty-three million, six hundred ninety-three thousand, six hundred ninety-six".