961071540 has 288 divisors, whose sum is σ = 3378412800. Its totient is φ = 202076160.

The previous prime is 961071533. The next prime is 961071541. The reversal of 961071540 is 45170169.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961071541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1604161 + ... + 1604759.

It is an arithmetic number, because the mean of its divisors is an integer number (11730600).

Almost surely, 2^961071540 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 961071540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689206400).

961071540 is an abundant number, since it is smaller than the sum of its proper divisors (2417341260).

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

961071540 is a wasteful number, since it uses less digits than its factorization.

961071540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 961071540 is about 31001.1538494941. The cubic root of 961071540 is about 986.8517272692.

The spelling of 961071540 in words is "nine hundred sixty-one million, seventy-one thousand, five hundred forty".