961269120 has 384 divisors, whose sum is σ = 3938538240. Its totient is φ = 219469824.

The previous prime is 961269073. The next prime is 961269121. The reversal of 961269120 is 21962169.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961269121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088199 + ... + 1089081.

It is an arithmetic number, because the mean of its divisors is an integer number (10256610).

Almost surely, 2^961269120 is an apocalyptic number.

961269120 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 961269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969269120).

961269120 is an abundant number, since it is smaller than the sum of its proper divisors (2977269120).

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

961269120 is an equidigital number, since it uses as much as digits as its factorization.

961269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 961269120 is about 31004.3403413135. The cubic root of 961269120 is about 986.9193492918.

The spelling of 961269120 in words is "nine hundred sixty-one million, two hundred sixty-nine thousand, one hundred twenty".