961319424 has 160 divisors (see below), whose sum is σ = 2848817664. Its totient is φ = 286064640.

The previous prime is 961319419. The next prime is 961319467. The reversal of 961319424 is 424913169.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 618232 + ... + 619784.

Almost surely, 2^961319424 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 961319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424408832).

961319424 is an abundant number, since it is smaller than the sum of its proper divisors (1887498240).

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

961319424 is a wasteful number, since it uses less digits than its factorization.

961319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1602 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 961319424 is about 31005.1515719566. The cubic root of 961319424 is about 986.9365644240.

The spelling of 961319424 in words is "nine hundred sixty-one million, three hundred nineteen thousand, four hundred twenty-four".