905120736 has 144 divisors (see below), whose sum is σ = 2629718784. Its totient is φ = 272343552.

The previous prime is 905120729. The next prime is 905120761. The reversal of 905120736 is 637021509.

It is a junction number, because it is equal to n+sod(n) for n = 905120697 and 905120706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761935 + ... + 763121.

It is an arithmetic number, because the mean of its divisors is an integer number (18261936).

Almost surely, 2^905120736 is an apocalyptic number.

905120736 is a gapful number since it is divisible by the number (96) 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 905120736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314859392).

905120736 is an abundant number, since it is smaller than the sum of its proper divisors (1724598048).

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

905120736 is a wasteful number, since it uses less digits than its factorization.

905120736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 905120736 is about 30085.2245462785. The cubic root of 905120736 is about 967.3170398312.

The spelling of 905120736 in words is "nine hundred five million, one hundred twenty thousand, seven hundred thirty-six".