961368 has 32 divisors (see below), whose sum is σ = 2464560. Its totient is φ = 312320.

The previous prime is 961339. The next prime is 961393. The reversal of 961368 is 863169.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 1472.

2⁹⁶¹³⁶⁸ 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 961368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232280).

961368 is an abundant number, since it is smaller than the sum of its proper divisors (1503192).

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

961368 is a wasteful number, since it uses less digits than its factorization.

961368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 961368 is about 980.4937531672. The cubic root of 961368 is about 98.6953187627.

It can be divided in two parts, 96 and 1368, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 961368 in words is "nine hundred sixty-one thousand, three hundred sixty-eight".