662958240 has 288 divisors, whose sum is σ = 2469688704. Its totient is φ = 149022720.

The previous prime is 662958239. The next prime is 662958251. The reversal of 662958240 is 42859266.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 662958192 and 662958201.

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 47 ways as a sum of consecutive naturals, for example, 1669722 + ... + 1670118.

It is an arithmetic number, because the mean of its divisors is an integer number (8575308).

Almost surely, 2^662958240 is an apocalyptic number.

662958240 is a gapful number since it is divisible by the number (60) 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 662958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234844352).

662958240 is an abundant number, since it is smaller than the sum of its proper divisors (1806730464).

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

662958240 is a wasteful number, since it uses less digits than its factorization.

662958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 662958240 is about 25747.9754543925. The cubic root of 662958240 is about 871.9576474113.

The spelling of 662958240 in words is "six hundred sixty-two million, nine hundred fifty-eight thousand, two hundred forty".