321694128 has 120 divisors (see below), whose sum is σ = 1089492768. Its totient is φ = 86501376.

The previous prime is 321694117. The next prime is 321694133. The reversal of 321694128 is 821496123.

321694128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321694128² = 206974223979360768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 321694092 and 321694101.

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 23 ways as a sum of consecutive naturals, for example, 7750 + ... + 26522.

Almost surely, 2^321694128 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 321694128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544746384).

321694128 is an abundant number, since it is smaller than the sum of its proper divisors (767798640).

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

321694128 is a wasteful number, since it uses less digits than its factorization.

321694128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811 (or 18802 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 321694128 is about 17935.8336299153. The cubic root of 321694128 is about 685.1953040349.

It can be divided in two parts, 3216 and 94128, that added together give a square (97344 = 312²).

The spelling of 321694128 in words is "three hundred twenty-one million, six hundred ninety-four thousand, one hundred twenty-eight".