993913648 has 120 divisors (see below), whose sum is σ = 2436594048. Its totient is φ = 389265408.

The previous prime is 993913639. The next prime is 993913649. The reversal of 993913648 is 846319399.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 993913595 and 993913604.

It is not an unprimeable number, because it can be changed into a prime (993913649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151265 + ... + 1152127.

Almost surely, 2^993913648 is an apocalyptic number.

993913648 is a gapful number since it is divisible by the number (98) 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 993913648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218297024).

993913648 is an abundant number, since it is smaller than the sum of its proper divisors (1442680400).

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

993913648 is a wasteful number, since it uses less digits than its factorization.

993913648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The square root of 993913648 is about 31526.3960515629. The cubic root of 993913648 is about 997.9670860614.

The spelling of 993913648 in words is "nine hundred ninety-three million, nine hundred thirteen thousand, six hundred forty-eight".