905768136 has 384 divisors, whose sum is σ = 3274992000. Its totient is φ = 229630464.

The previous prime is 905768131. The next prime is 905768141. The reversal of 905768136 is 631867509.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (905768131) and next prime (905768141).

It is a junction number, because it is equal to n+sod(n) for n = 905768091 and 905768100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905768131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3990055 + ... + 3990281.

It is an arithmetic number, because the mean of its divisors is an integer number (8528625).

Almost surely, 2^905768136 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 905768136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496000).

905768136 is an abundant number, since it is smaller than the sum of its proper divisors (2369223864).

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

905768136 is a wasteful number, since it uses less digits than its factorization.

905768136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 905768136 is about 30095.9820574109. The cubic root of 905768136 is about 967.5476137856.

The spelling of 905768136 in words is "nine hundred five million, seven hundred sixty-eight thousand, one hundred thirty-six".