961464 has 64 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 267264.

The previous prime is 961459. The next prime is 961487. The reversal of 961464 is 464169.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9864 + ... + 9960.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁹⁶¹⁴⁶⁴ 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 961464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

961464 is an abundant number, since it is smaller than the sum of its proper divisors (1860936).

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

961464 is a wasteful number, since it uses less digits than its factorization.

961464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 961464 is about 980.5427068721. The cubic root of 961464 is about 98.6986038159.

The spelling of 961464 in words is "nine hundred sixty-one thousand, four hundred sixty-four".