901085760 has 168 divisors, whose sum is σ = 3152485440. Its totient is φ = 236172288.

The previous prime is 901085749. The next prime is 901085761. The reversal of 901085760 is 67580109.

901085760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (901085761) 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, 167269 + ... + 172571.

Almost surely, 2^901085760 is an apocalyptic number.

901085760 is a gapful number since it is divisible by the number (90) 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 901085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576242720).

901085760 is an abundant number, since it is smaller than the sum of its proper divisors (2251399680).

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

901085760 is a wasteful number, since it uses less digits than its factorization.

901085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 901085760 is about 30018.0905455360. The cubic root of 901085760 is about 965.8774840443.

The spelling of 901085760 in words is "nine hundred one million, eighty-five thousand, seven hundred sixty".