321291648 has 96 divisors (see below), whose sum is σ = 932045400. Its totient is φ = 106229760.

The previous prime is 321291647. The next prime is 321291673. The reversal of 321291648 is 846192123.

321291648 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 9 + 1 + 648 = 666.

321291648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (321291647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149848 + ... + 151976.

Almost surely, 2^321291648 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 321291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466022700).

321291648 is an abundant number, since it is smaller than the sum of its proper divisors (610753752).

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

321291648 is a wasteful number, since it uses less digits than its factorization.

321291648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2265 counting only the distinct ones).

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

The square root of 321291648 is about 17924.6101212830. The cubic root of 321291648 is about 684.9094294802.

The spelling of 321291648 in words is "three hundred twenty-one million, two hundred ninety-one thousand, six hundred forty-eight".