1993248000 has 360 divisors, whose sum is σ = 7427139720. Its totient is φ = 530841600.

The previous prime is 1993247989. The next prime is 1993248007. The reversal of 1993248000 is 8423991.

It can be written as a sum of positive squares in 4 ways, for example, as 139428864 + 1853819136 = 11808^2 + 43056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993248007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2591616 + ... + 2592384.

Almost surely, 2^1993248000 is an apocalyptic number.

1993248000 is a gapful number since it is divisible by the number (10) 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 1993248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713569860).

1993248000 is an abundant number, since it is smaller than the sum of its proper divisors (5433891720).

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

1993248000 is an frugal number, since it uses more digits than its factorization.

1993248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1993248000 is about 44645.8060740312. The cubic root of 1993248000 is about 1258.5016202081.

The spelling of 1993248000 in words is "one billion, nine hundred ninety-three million, two hundred forty-eight thousand".