65817906 has 64 divisors (see below), whose sum is σ = 165749760. Its totient is φ = 16925760.

The previous prime is 65817901. The next prime is 65817911. The reversal of 65817906 is 60971856.

It is an interprime number because it is at equal distance from previous prime (65817901) and next prime (65817911).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (65817901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49705 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (2589840).

Almost surely, 2^65817906 is an apocalyptic number.

65817906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65817906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82874880).

65817906 is an abundant number, since it is smaller than the sum of its proper divisors (99931854).

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

65817906 is a wasteful number, since it uses less digits than its factorization.

65817906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 65817906 is about 8112.8235528699. The cubic root of 65817906 is about 403.7520003607.

The spelling of 65817906 in words is "sixty-five million, eight hundred seventeen thousand, nine hundred six".