815166240 has 384 divisors, whose sum is σ = 3088834560. Its totient is φ = 176836608.

The previous prime is 815166239. The next prime is 815166257. The reversal of 815166240 is 42661518.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9821239 + ... + 9821321.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^815166240 is an apocalyptic number.

815166240 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 815166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

815166240 is an abundant number, since it is smaller than the sum of its proper divisors (2273668320).

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

815166240 is a wasteful number, since it uses less digits than its factorization.

815166240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 815166240 is about 28551.1162653932. The cubic root of 815166240 is about 934.1473691719.

The spelling of 815166240 in words is "eight hundred fifteen million, one hundred sixty-six thousand, two hundred forty".