693848064 has 384 divisors, whose sum is σ = 2443633920. Its totient is φ = 169869312.

The previous prime is 693848063. The next prime is 693848119. The reversal of 693848064 is 460848396.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693848063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504732 + ... + 9504804.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2^693848064 is an apocalyptic number.

693848064 is a gapful number since it is divisible by the number (64) 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 693848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221816960).

693848064 is an abundant number, since it is smaller than the sum of its proper divisors (1749785856).

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

693848064 is a wasteful number, since it uses less digits than its factorization.

693848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 693848064 is about 26340.9958809457. The cubic root of 693848064 is about 885.2952355342.

The spelling of 693848064 in words is "six hundred ninety-three million, eight hundred forty-eight thousand, sixty-four".