993325680 has 240 divisors, whose sum is σ = 3555543264. Its totient is φ = 257541120.

The previous prime is 993325667. The next prime is 993325693. The reversal of 993325680 is 86523399.

It is an interprime number because it is at equal distance from previous prime (993325667) and next prime (993325693).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718590 + ... + 719970.

Almost surely, 2^993325680 is an apocalyptic number.

993325680 is a gapful number since it is divisible by the number (90) 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 993325680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777771632).

993325680 is an abundant number, since it is smaller than the sum of its proper divisors (2562217584).

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

993325680 is a wasteful number, since it uses less digits than its factorization.

993325680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 993325680 is about 31517.0696607410. The cubic root of 993325680 is about 997.7702586153.

The spelling of 993325680 in words is "nine hundred ninety-three million, three hundred twenty-five thousand, six hundred eighty".