693872640 has 144 divisors (see below), whose sum is σ = 2405157300. Its totient is φ = 185008128.

The previous prime is 693872611. The next prime is 693872653. The reversal of 693872640 is 46278396.

693872640 is a `hidden beast` number, since 6 + 9 + 387 + 264 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 676832256 + 17040384 = 26016^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88396 + ... + 95924.

Almost surely, 2^693872640 is an apocalyptic number.

693872640 is a gapful number since it is divisible by the number (60) 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 693872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202578650).

693872640 is an abundant number, since it is smaller than the sum of its proper divisors (1711284660).

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

693872640 is a wasteful number, since it uses less digits than its factorization.

693872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 693872640 is about 26341.4623739837. The cubic root of 693872640 is about 885.3056877547.

It can be divided in two parts, 69387 and 2640, that added together give a palindrome (72027).

The spelling of 693872640 in words is "six hundred ninety-three million, eight hundred seventy-two thousand, six hundred forty".