815088420 has 120 divisors (see below), whose sum is σ = 2566267704. Its totient is φ = 216566784.

The previous prime is 815088403. The next prime is 815088437. The reversal of 815088420 is 24880518.

815088420 is a `hidden beast` number, since 8 + 150 + 88 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (815088403) and next prime (815088437).

It can be written as a sum of positive squares in 4 ways, for example, as 131056704 + 684031716 = 11448^2 + 26154^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 545194 + ... + 546686.

Almost surely, 2^815088420 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 815088420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283133852).

815088420 is an abundant number, since it is smaller than the sum of its proper divisors (1751179284).

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

815088420 is a wasteful number, since it uses less digits than its factorization.

815088420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 815088420 is about 28549.7534139964. The cubic root of 815088420 is about 934.1176420405.

The spelling of 815088420 in words is "eight hundred fifteen million, eighty-eight thousand, four hundred twenty".