815259648 has 168 divisors, whose sum is σ = 2532549672. Its totient is φ = 232587264.

The previous prime is 815259647. The next prime is 815259673. The reversal of 815259648 is 846952518.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (691200) is a multiple of the sum of its prime factors (720).

It is a junction number, because it is equal to n+sod(n) for n = 815259597 and 815259606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815259647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203886 + ... + 1204562.

Almost surely, 2^815259648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266274836).

815259648 is an abundant number, since it is smaller than the sum of its proper divisors (1717290024).

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

815259648 is an equidigital number, since it uses as much as digits as its factorization.

815259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 689 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 815259648 is about 28552.7520214777. The cubic root of 815259648 is about 934.1830483992.

The spelling of 815259648 in words is "eight hundred fifteen million, two hundred fifty-nine thousand, six hundred forty-eight".