693987840 has 480 divisors, whose sum is σ = 2967060096. Its totient is φ = 145981440.

The previous prime is 693987839. The next prime is 693987841. The reversal of 693987840 is 48789396.

It is an interprime number because it is at equal distance from previous prime (693987839) and next prime (693987841).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693987841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2096475 + ... + 2096805.

Almost surely, 2^693987840 is an apocalyptic number.

693987840 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 693987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483530048).

693987840 is an abundant number, since it is smaller than the sum of its proper divisors (2273072256).

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

693987840 is a wasteful number, since it uses less digits than its factorization.

693987840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 693987840 is about 26343.6489499841. The cubic root of 693987840 is about 885.3546792486.

The spelling of 693987840 in words is "six hundred ninety-three million, nine hundred eighty-seven thousand, eight hundred forty".