901308672 has 324 divisors, whose sum is σ = 2958021612. Its totient is φ = 263577600.

The previous prime is 901308637. The next prime is 901308677. The reversal of 901308672 is 276803109.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 615833856 = 16896^2 + 24816^2 .

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 (901308677) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14775522 + ... + 14775582.

Almost surely, 2^901308672 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 901308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479010806).

901308672 is an abundant number, since it is smaller than the sum of its proper divisors (2056712940).

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

901308672 is a wasteful number, since it uses less digits than its factorization.

901308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 901308672 is about 30021.8032769519. The cubic root of 901308672 is about 965.9571242367.

The spelling of 901308672 in words is "nine hundred one million, three hundred eight thousand, six hundred seventy-two".