1961162840 has 256 divisors, whose sum is σ = 5898251520. Its totient is φ = 569180160.

The previous prime is 1961162839. The next prime is 1961162849. The reversal of 1961162840 is 482611691.

It is a junction number, because it is equal to n+sod(n) for n = 1961162794 and 1961162803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961162849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2536694 + ... + 2537466.

It is an arithmetic number, because the mean of its divisors is an integer number (23040045).

Almost surely, 2^1961162840 is an apocalyptic number.

1961162840 is a gapful number since it is divisible by the number (10) 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 1961162840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949125760).

1961162840 is an abundant number, since it is smaller than the sum of its proper divisors (3937088680).

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

1961162840 is a wasteful number, since it uses less digits than its factorization.

1961162840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1961162840 is about 44285.0182341613. The cubic root of 1961162840 is about 1251.7123922989.

The spelling of 1961162840 in words is "one billion, nine hundred sixty-one million, one hundred sixty-two thousand, eight hundred forty".