961611840 has 168 divisors, whose sum is σ = 3780129600. Its totient is φ = 219792384.

The previous prime is 961611839. The next prime is 961611857. The reversal of 961611840 is 48116169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 961611795 and 961611804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690 + ... + 44009.

Almost surely, 2^961611840 is an apocalyptic number.

961611840 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 961611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890064800).

961611840 is an abundant number, since it is smaller than the sum of its proper divisors (2818517760).

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

961611840 is a wasteful number, since it uses less digits than its factorization.

961611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47729 (or 47716 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 961611840 is about 31009.8668168698. The cubic root of 961611840 is about 987.0366237030.

The spelling of 961611840 in words is "nine hundred sixty-one million, six hundred eleven thousand, eight hundred forty".