961349760 has 384 divisors, whose sum is σ = 3845612160. Its totient is φ = 216760320.

The previous prime is 961349749. The next prime is 961349771. The reversal of 961349760 is 67943169.

961349760 is a `hidden beast` number, since 96 + 13 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (961349749) and next prime (961349771).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×961349760² = 1848386722104115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4556055 + ... + 4556265.

It is an arithmetic number, because the mean of its divisors is an integer number (10014615).

Almost surely, 2^961349760 is an apocalyptic number.

961349760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922806080).

961349760 is an abundant number, since it is smaller than the sum of its proper divisors (2884262400).

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

961349760 is a wasteful number, since it uses less digits than its factorization.

961349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 961349760 is about 31005.6407771231. The cubic root of 961349760 is about 986.9469457783.

The spelling of 961349760 in words is "nine hundred sixty-one million, three hundred forty-nine thousand, seven hundred sixty".