815493120 has 208 divisors, whose sum is σ = 2812723872. Its totient is φ = 200540160.

The previous prime is 815493101. The next prime is 815493143. The reversal of 815493120 is 21394518.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798210 + ... + 799230.

Almost surely, 2^815493120 is an apocalyptic number.

815493120 is a gapful number since it is divisible by the number (80) 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 815493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406361936).

815493120 is an abundant number, since it is smaller than the sum of its proper divisors (1997230752).

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

815493120 is a wasteful number, since it uses less digits than its factorization.

815493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 815493120 is about 28556.8401613344. The cubic root of 815493120 is about 934.2722162156.

The spelling of 815493120 in words is "eight hundred fifteen million, four hundred ninety-three thousand, one hundred twenty".