1962086640 has 120 divisors (see below), whose sum is σ = 6300089328. Its totient is φ = 505128960.

The previous prime is 1962086639. The next prime is 1962086641. The reversal of 1962086640 is 466802691.

It is an interprime number because it is at equal distance from previous prime (1962086639) and next prime (1962086641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1962086592 and 1962086601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1962086641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196980 + ... + 206700.

Almost surely, 2^1962086640 is an apocalyptic number.

1962086640 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 1962086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150044664).

1962086640 is an abundant number, since it is smaller than the sum of its proper divisors (4338002688).

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

1962086640 is a wasteful number, since it uses less digits than its factorization.

1962086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1962086640 is about 44295.4471701099. The cubic root of 1962086640 is about 1251.9088999303.

The spelling of 1962086640 in words is "one billion, nine hundred sixty-two million, eighty-six thousand, six hundred forty".