961127540 has 96 divisors (see below), whose sum is σ = 2199415680. Its totient is φ = 351558144.

The previous prime is 961127537. The next prime is 961127543. The reversal of 961127540 is 45721169.

It is an interprime number because it is at equal distance from previous prime (961127537) and next prime (961127543).

It is a super-2 number, since 2×961127540² = 1847532296292903200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 961127540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961127543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2769647 + ... + 2769993.

It is an arithmetic number, because the mean of its divisors is an integer number (22910580).

Almost surely, 2^961127540 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 961127540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099707840).

961127540 is an abundant number, since it is smaller than the sum of its proper divisors (1238288140).

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

961127540 is a wasteful number, since it uses less digits than its factorization.

961127540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 961127540 is about 31002.0570285263. The cubic root of 961127540 is about 986.8708942861.

The spelling of 961127540 in words is "nine hundred sixty-one million, one hundred twenty-seven thousand, five hundred forty".