901327152 has 80 divisors (see below), whose sum is σ = 2558586240. Its totient is φ = 271142400.

The previous prime is 901327123. The next prime is 901327157. The reversal of 901327152 is 251723109.

It is a super-2 number, since 2×901327152² = 1624781269864862208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (901327157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67252 + ... + 79532.

It is an arithmetic number, because the mean of its divisors is an integer number (31982328).

Almost surely, 2^901327152 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 901327152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279293120).

901327152 is an abundant number, since it is smaller than the sum of its proper divisors (1657259088).

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

901327152 is a wasteful number, since it uses less digits than its factorization.

901327152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 901327152 is about 30022.1110516899. Note that the first 3 decimals coincide. The cubic root of 901327152 is about 965.9637260318.

The spelling of 901327152 in words is "nine hundred one million, three hundred twenty-seven thousand, one hundred fifty-two".