69933996 has 144 divisors (see below), whose sum is σ = 208010880. Its totient is φ = 20139840.

The previous prime is 69933949. The next prime is 69934019.

69933996 = 331² + 332² + ... + 626².

69933996 is nontrivially palindromic in base 10.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626351 + ... + 1626393.

It is an arithmetic number, because the mean of its divisors is an integer number (1444520).

Almost surely, 2^69933996 is an apocalyptic number.

69933996 is a gapful number since it is divisible by the number (66) 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 69933996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104005440).

69933996 is an abundant number, since it is smaller than the sum of its proper divisors (138076884).

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

69933996 is a wasteful number, since it uses less digits than its factorization.

69933996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 69933996 is about 8362.6548416158. The cubic root of 69933996 is about 411.9989552869.

The spelling of 69933996 in words is "sixty-nine million, nine hundred thirty-three thousand, nine hundred ninety-six".