1965582648 has 96 divisors (see below), whose sum is σ = 5521183200. Its totient is φ = 630975744.

The previous prime is 1965582643. The next prime is 1965582659. The reversal of 1965582648 is 8462855691.

1965582648 is a `hidden beast` number, since 19 + 6 + 5 + 582 + 6 + 48 = 666.

It is a super-2 number, since 2×1965582648² = 7727030292237383808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1965582594 and 1965582603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965582643) 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, 1015890 + ... + 1017822.

It is an arithmetic number, because the mean of its divisors is an integer number (57512325).

Almost surely, 2^1965582648 is an apocalyptic number.

1965582648 is a gapful number since it is divisible by the number (18) 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 1965582648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760591600).

1965582648 is an abundant number, since it is smaller than the sum of its proper divisors (3555600552).

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

1965582648 is a wasteful number, since it uses less digits than its factorization.

1965582648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2454 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 1965582648 is about 44334.8919926507. The cubic root of 1965582648 is about 1252.6520011064.

The spelling of 1965582648 in words is "one billion, nine hundred sixty-five million, five hundred eighty-two thousand, six hundred forty-eight".