325923840 has 264 divisors, whose sum is σ = 1233898848. Its totient is φ = 78888960.

The previous prime is 325923839. The next prime is 325923877. The reversal of 325923840 is 48329523.

325923840 is a `hidden beast` number, since 32 + 592 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a junction number, because it is equal to n+sod(n) for n = 325923795 and 325923804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506559 + ... + 507201.

Almost surely, 2^325923840 is an apocalyptic number.

325923840 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 325923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616949424).

325923840 is an abundant number, since it is smaller than the sum of its proper divisors (907975008).

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

325923840 is a wasteful number, since it uses less digits than its factorization.

325923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 325923840 is about 18053.3609059366. The cubic root of 325923840 is about 688.1852755027.

The spelling of 325923840 in words is "three hundred twenty-five million, nine hundred twenty-three thousand, eight hundred forty".