901072032 has 96 divisors (see below), whose sum is σ = 2712052224. Its totient is φ = 256608000.

The previous prime is 901071973. The next prime is 901072033. The reversal of 901072032 is 230270109.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 901071993 and 901072011.

It is not an unprimeable number, because it can be changed into a prime (901072033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220407 + ... + 224457.

It is an arithmetic number, because the mean of its divisors is an integer number (28250544).

Almost surely, 2^901072032 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 901072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356026112).

901072032 is an abundant number, since it is smaller than the sum of its proper divisors (1810980192).

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

901072032 is a wasteful number, since it uses less digits than its factorization.

901072032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 901072032 is about 30017.8618825525. The cubic root of 901072032 is about 965.8725789864.

The spelling of 901072032 in words is "nine hundred one million, seventy-two thousand, thirty-two".