806592240 has 120 divisors (see below), whose sum is σ = 2730444288. Its totient is φ = 213373440.

The previous prime is 806592223. The next prime is 806592247. The reversal of 806592240 is 42295608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 806592195 and 806592204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806592247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87030 + ... + 95850.

Almost surely, 2^806592240 is an apocalyptic number.

806592240 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 806592240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365222144).

806592240 is an abundant number, since it is smaller than the sum of its proper divisors (1923852048).

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

806592240 is a wasteful number, since it uses less digits than its factorization.

806592240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8967 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 806592240 is about 28400.5675999618. The cubic root of 806592240 is about 930.8606670044.

The spelling of 806592240 in words is "eight hundred six million, five hundred ninety-two thousand, two hundred forty".