1073088000 has 560 divisors, whose sum is σ = 4186312416. Its totient is φ = 273715200.

The previous prime is 1073087989. The next prime is 1073088007. The reversal of 1073088000 is 8803701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073088007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655989 + ... + 46656011.

Almost surely, 2^1073088000 is an apocalyptic number.

1073088000 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 1073088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093156208).

1073088000 is an abundant number, since it is smaller than the sum of its proper divisors (3113224416).

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

1073088000 is an frugal number, since it uses more digits than its factorization.

1073088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1073088000 is about 32758.0219183027. The cubic root of 1073088000 is about 1023.7921127466.

The spelling of 1073088000 in words is "one billion, seventy-three million, eighty-eight thousand".