662061600 has 360 divisors, whose sum is σ = 2560687668. Its totient is φ = 165888000.

The previous prime is 662061523. The next prime is 662061641. The reversal of 662061600 is 6160266.

It can be written as a sum of positive squares in 6 ways, for example, as 455737104 + 206324496 = 21348^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101300 + ... + 1101900.

Almost surely, 2^662061600 is an apocalyptic number.

662061600 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 662061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280343834).

662061600 is an abundant number, since it is smaller than the sum of its proper divisors (1898626068).

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

662061600 is a wasteful number, since it uses less digits than its factorization.

662061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 662061600 is about 25730.5577086856. The cubic root of 662061600 is about 871.5643673149.

The spelling of 662061600 in words is "six hundred sixty-two million, sixty-one thousand, six hundred".