901152 has 96 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 255744.

The previous prime is 901141. The next prime is 901169. The reversal of 901152 is 251109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 901152.

It is an unprimeable number.

901152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5974 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁹⁰¹¹⁵² 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 901152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

901152 is an abundant number, since it is smaller than the sum of its proper divisors (2122848).

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

901152 is a wasteful number, since it uses less digits than its factorization.

901152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 901152 is about 949.2902611952. The cubic root of 901152 is about 96.5901151106.

The spelling of 901152 in words is "nine hundred one thousand, one hundred fifty-two".