1013824000 has 320 divisors, whose sum is σ = 3023235072. Its totient is φ = 331776000.

The previous prime is 1013823973. The next prime is 1013824003. The reversal of 1013824000 is 4283101.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (1013824003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13887964 + ... + 13888036.

Almost surely, 2^1013824000 is an apocalyptic number.

1013824000 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 1013824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511617536).

1013824000 is an abundant number, since it is smaller than the sum of its proper divisors (2009411072).

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

1013824000 is an frugal number, since it uses more digits than its factorization.

1013824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1013824000 is about 31840.6030093653. The cubic root of 1013824000 is about 1004.5869279227.

The spelling of 1013824000 in words is "one billion, thirteen million, eight hundred twenty-four thousand".