662088960 has 216 divisors, whose sum is σ = 2467529064. Its totient is φ = 162938880.

The previous prime is 662088949. The next prime is 662088983. The reversal of 662088960 is 69880266.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 601622784 = 7776^2 + 24528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147550 + ... + 151970.

Almost surely, 2^662088960 is an apocalyptic number.

662088960 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 662088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233764532).

662088960 is an abundant number, since it is smaller than the sum of its proper divisors (1805440104).

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

662088960 is a wasteful number, since it uses less digits than its factorization.

662088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 662088960 is about 25731.0893667563. The cubic root of 662088960 is about 871.5763730822.

The spelling of 662088960 in words is "six hundred sixty-two million, eighty-eight thousand, nine hundred sixty".