961511320 has 256 divisors, whose sum is σ = 2882304000. Its totient is φ = 285626880.

The previous prime is 961511293. The next prime is 961511329. The reversal of 961511320 is 23115169.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961511329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3471022 + ... + 3471298.

It is an arithmetic number, because the mean of its divisors is an integer number (11259000).

Almost surely, 2^961511320 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 961511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441152000).

961511320 is an abundant number, since it is smaller than the sum of its proper divisors (1920792680).

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

961511320 is a wasteful number, since it uses less digits than its factorization.

961511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 961511320 is about 31008.2460000562. The cubic root of 961511320 is about 987.0022299297.

Adding to 961511320 its reverse (23115169), we get a palindrome (984626489).

The spelling of 961511320 in words is "nine hundred sixty-one million, five hundred eleven thousand, three hundred twenty".