921601152 has 160 divisors (see below), whose sum is σ = 2772506880. Its totient is φ = 303865344.

The previous prime is 921601091. The next prime is 921601183. The reversal of 921601152 is 251106129.

921601152 is a `hidden beast` number, since 9 + 2 + 1 + 601 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1067473 + ... + 1068335.

It is an arithmetic number, because the mean of its divisors is an integer number (17328168).

Almost surely, 2^921601152 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 921601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386253440).

921601152 is an abundant number, since it is smaller than the sum of its proper divisors (1850905728).

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

921601152 is a wasteful number, since it uses less digits than its factorization.

921601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 921601152 is about 30357.8845112765. The cubic root of 921601152 is about 973.1527247717.

The spelling of 921601152 in words is "nine hundred twenty-one million, six hundred one thousand, one hundred fifty-two".