961380 has 108 divisors (see below), whose sum is σ = 3423420. Its totient is φ = 217728.

The previous prime is 961339. The next prime is 961393. The reversal of 961380 is 83169.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 451584 = 714^2 + 672^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 8766 + ... + 8874.

2⁹⁶¹³⁸⁰ is an apocalyptic number.

961380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 980×981.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711710).

961380 is an abundant number, since it is smaller than the sum of its proper divisors (2462040).

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

961380 is a wasteful number, since it uses less digits than its factorization.

961380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 961380 is about 980.4998725140. The cubic root of 961380 is about 98.6957294063.

The spelling of 961380 in words is "nine hundred sixty-one thousand, three hundred eighty".