815948144 has 40 divisors (see below), whose sum is σ = 1757177712. Its totient is φ = 363883520.

The previous prime is 815948143. The next prime is 815948191. The reversal of 815948144 is 441849518.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 815948095 and 815948104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815948143) 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 7 ways as a sum of consecutive naturals, for example, 34409 + ... + 53064.

Almost surely, 2^815948144 is an apocalyptic number.

It is an amenable number.

815948144 is an abundant number, since it is smaller than the sum of its proper divisors (941229568).

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

815948144 is a wasteful number, since it uses less digits than its factorization.

815948144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87545 (or 87539 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 815948144 is about 28564.8060382002. The cubic root of 815948144 is about 934.4459504577.

The spelling of 815948144 in words is "eight hundred fifteen million, nine hundred forty-eight thousand, one hundred forty-four".