1693016640 has 840 divisors, whose sum is σ = 7399763712. Its totient is φ = 365783040.

The previous prime is 1693016639. The next prime is 1693016693. The reversal of 1693016640 is 466103961.

1693016640 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 1693016595 and 1693016604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372459 + ... + 39372501.

Almost surely, 2^1693016640 is an apocalyptic number.

1693016640 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 1693016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699881856).

1693016640 is an abundant number, since it is smaller than the sum of its proper divisors (5706747072).

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

1693016640 is a wasteful number, since it uses less digits than its factorization.

1693016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1693016640 is about 41146.2834287618. The cubic root of 1693016640 is about 1191.8467289377.

The spelling of 1693016640 in words is "one billion, six hundred ninety-three million, sixteen thousand, six hundred forty".