809652096 has 192 divisors, whose sum is σ = 2562945840. Its totient is φ = 243302400.

The previous prime is 809652091. The next prime is 809652101. The reversal of 809652096 is 690256908.

It is an interprime number because it is at equal distance from previous prime (809652091) and next prime (809652101).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809652091) 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, 2293456 + ... + 2293808.

Almost surely, 2^809652096 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 809652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281472920).

809652096 is an abundant number, since it is smaller than the sum of its proper divisors (1753293744).

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

809652096 is a wasteful number, since it uses less digits than its factorization.

809652096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 809652096 is about 28454.3862348145. The cubic root of 809652096 is about 932.0362735856.

The spelling of 809652096 in words is "eight hundred nine million, six hundred fifty-two thousand, ninety-six".