961416 has 32 divisors (see below), whose sum is σ = 2671200. Its totient is φ = 320400.

The previous prime is 961399. The next prime is 961427. The reversal of 961416 is 614169.

961416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 961416.

It is an unprimeable number.

961416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2010 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (83475).

2⁹⁶¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

961416 is an abundant number, since it is smaller than the sum of its proper divisors (1709784).

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

961416 is a wasteful number, since it uses less digits than its factorization.

961416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4456 counting only the distinct ones).

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

The square root of 961416 is about 980.5182303252. The cubic root of 961416 is about 98.6969613166.

It can be divided in two parts, 9 and 61416, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 961416 in words is "nine hundred sixty-one thousand, four hundred sixteen".