1965092640 has 96 divisors (see below), whose sum is σ = 7074345600. Its totient is φ = 449163264.

The previous prime is 1965092599. The next prime is 1965092683. The reversal of 1965092640 is 462905691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1965092592 and 1965092601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289065 + ... + 295784.

It is an arithmetic number, because the mean of its divisors is an integer number (73691100).

Almost surely, 2^1965092640 is an apocalyptic number.

1965092640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1965092640 is an abundant number, since it is smaller than the sum of its proper divisors (5109252960).

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

1965092640 is a wasteful number, since it uses less digits than its factorization.

1965092640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584874 (or 584866 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1965092640 is about 44329.3654364689. The cubic root of 1965092640 is about 1252.5478995709.

It can be divided in two parts, 196 and 5092640, that added together give a triangular number (5092836 = T₃₁₉₁).

The spelling of 1965092640 in words is "one billion, nine hundred sixty-five million, ninety-two thousand, six hundred forty".