321587040 has 96 divisors (see below), whose sum is σ = 1032194016. Its totient is φ = 84131840.

The previous prime is 321587033. The next prime is 321587047. The reversal of 321587040 is 40785123.

It is an interprime number because it is at equal distance from previous prime (321587033) and next prime (321587047).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 321586989 and 321587007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321587047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19120 + ... + 31760.

It is an arithmetic number, because the mean of its divisors is an integer number (10752021).

Almost surely, 2^321587040 is an apocalyptic number.

321587040 is a gapful number since it is divisible by the number (30) 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 321587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516097008).

321587040 is an abundant number, since it is smaller than the sum of its proper divisors (710606976).

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

321587040 is a wasteful number, since it uses less digits than its factorization.

321587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12704 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 321587040 is about 17932.8480727407. The cubic root of 321587040 is about 685.1192645802.

The spelling of 321587040 in words is "three hundred twenty-one million, five hundred eighty-seven thousand, forty".