901134080 has 288 divisors, whose sum is σ = 2769113088. Its totient is φ = 272793600.

The previous prime is 901134049. The next prime is 901134083. The reversal of 901134080 is 80431109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901134083) 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, 4040849 + ... + 4041071.

It is an arithmetic number, because the mean of its divisors is an integer number (9614976).

Almost surely, 2^901134080 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 901134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384556544).

901134080 is an abundant number, since it is smaller than the sum of its proper divisors (1867979008).

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

901134080 is a wasteful number, since it uses less digits than its factorization.

901134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 901134080 is about 30018.8953827419. The cubic root of 901134080 is about 965.8947485370.

Adding to 901134080 its reverse (80431109), we get a palindrome (981565189).

The spelling of 901134080 in words is "nine hundred one million, one hundred thirty-four thousand, eighty".