806466240 has 224 divisors, whose sum is σ = 2937784320. Its totient is φ = 208051200.

The previous prime is 806466233. The next prime is 806466251. The reversal of 806466240 is 42664608.

It is a happy number.

806466240 is a `hidden beast` number, since 8 + 0 + 646 + 6 + 2 + 4 + 0 = 666.

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 = 806466195 and 806466204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266335 + ... + 269345.

Almost surely, 2^806466240 is an apocalyptic number.

806466240 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 806466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468892160).

806466240 is an abundant number, since it is smaller than the sum of its proper divisors (2131318080).

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

806466240 is a wasteful number, since it uses less digits than its factorization.

806466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 806466240 is about 28398.3492477996. The cubic root of 806466240 is about 930.8121937090.

The spelling of 806466240 in words is "eight hundred six million, four hundred sixty-six thousand, two hundred forty".