1693008864 has 240 divisors, whose sum is σ = 5225109120. Its totient is φ = 537062400.

The previous prime is 1693008809. The next prime is 1693008883. The reversal of 1693008864 is 4688003961.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7591857 + ... + 7592079.

It is an arithmetic number, because the mean of its divisors is an integer number (21771288).

Almost surely, 2^1693008864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1693008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

1693008864 is an abundant number, since it is smaller than the sum of its proper divisors (3532100256).

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

1693008864 is a wasteful number, since it uses less digits than its factorization.

1693008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1693008864 is about 41146.1889365224. The cubic root of 1693008864 is about 1191.8449042236.

The spelling of 1693008864 in words is "one billion, six hundred ninety-three million, eight thousand, eight hundred sixty-four".