655248000 has 512 divisors, whose sum is σ = 2543374080. Its totient is φ = 147456000.

The previous prime is 655247963. The next prime is 655248001. The reversal of 655248000 is 842556.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (655248001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8975964 + ... + 8976036.

Almost surely, 2^655248000 is an apocalyptic number.

655248000 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 655248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271687040).

655248000 is an abundant number, since it is smaller than the sum of its proper divisors (1888126080).

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

655248000 is a wasteful number, since it uses less digits than its factorization.

655248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 655248000 is about 25597.8124065319. The cubic root of 655248000 is about 868.5641529202.

The spelling of 655248000 in words is "six hundred fifty-five million, two hundred forty-eight thousand".