655415040 has 288 divisors, whose sum is σ = 2460648960. Its totient is φ = 145539072.

The previous prime is 655415039. The next prime is 655415041. The reversal of 655415040 is 40514556.

It is an interprime number because it is at equal distance from previous prime (655415039) and next prime (655415041).

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

It is a junction number, because it is equal to n+sod(n) for n = 655414989 and 655415007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655415041) 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 31 ways as a sum of consecutive naturals, for example, 994231 + ... + 994889.

It is an arithmetic number, because the mean of its divisors is an integer number (8543920).

Almost surely, 2^655415040 is an apocalyptic number.

655415040 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 655415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230324480).

655415040 is an abundant number, since it is smaller than the sum of its proper divisors (1805233920).

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

655415040 is a wasteful number, since it uses less digits than its factorization.

655415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 655415040 is about 25601.0749774301. The cubic root of 655415040 is about 868.6379532875.

Adding to 655415040 its reverse (40514556), we get a palindrome (695929596).

The spelling of 655415040 in words is "six hundred fifty-five million, four hundred fifteen thousand, forty".