320148840 has 128 divisors (see below), whose sum is σ = 1052092800. Its totient is φ = 77291520.

The previous prime is 320148821. The next prime is 320148859. The reversal of 320148840 is 48841023.

It is an interprime number because it is at equal distance from previous prime (320148821) and next prime (320148859).

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 = 320148798 and 320148807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539584 + ... + 540176.

It is an arithmetic number, because the mean of its divisors is an integer number (8219475).

Almost surely, 2^320148840 is an apocalyptic number.

320148840 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 320148840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526046400).

320148840 is an abundant number, since it is smaller than the sum of its proper divisors (731943960).

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

320148840 is a wasteful number, since it uses less digits than its factorization.

320148840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 320148840 is about 17892.7035408291. The cubic root of 320148840 is about 684.0964092415.

Adding to 320148840 its reverse (48841023), we get a palindrome (368989863).

The spelling of 320148840 in words is "three hundred twenty million, one hundred forty-eight thousand, eight hundred forty".