961152 has 32 divisors (see below), whose sum is σ = 2554080. Its totient is φ = 320256.

The previous prime is 961151. The next prime is 961157. The reversal of 961152 is 251169.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 4 and base 16.

It is not an unprimeable number, because it can be changed into a prime (961151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 868 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (79815).

2⁹⁶¹¹⁵² is an apocalyptic number.

It is an amenable number.

961152 is an abundant number, since it is smaller than the sum of its proper divisors (1592928).

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

961152 is a wasteful number, since it uses less digits than its factorization.

961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2508 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 961152 is about 980.3835983940. The cubic root of 961152 is about 98.6879265932.

It can be divided in two parts, 96 and 1152, that multiplied together give a cube (110592 = 48³).

The spelling of 961152 in words is "nine hundred sixty-one thousand, one hundred fifty-two".