655509600 has 216 divisors, whose sum is σ = 2328882192. Its totient is φ = 173491200.

The previous prime is 655509581. The next prime is 655509623. The reversal of 655509600 is 6905556.

It is a super-3 number, since 3×655509600³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1302949 + ... + 1303451.

It is an arithmetic number, because the mean of its divisors is an integer number (10781862).

Almost surely, 2^655509600 is an apocalyptic number.

655509600 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 655509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164441096).

655509600 is an abundant number, since it is smaller than the sum of its proper divisors (1673372592).

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

655509600 is a wasteful number, since it uses less digits than its factorization.

655509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 655509600 is about 25602.9217082738. The cubic root of 655509600 is about 868.6797255234.

The spelling of 655509600 in words is "six hundred fifty-five million, five hundred nine thousand, six hundred".