1073952000 has 576 divisors, whose sum is σ = 4362059520. Its totient is φ = 258048000.

The previous prime is 1073951993. The next prime is 1073952007. The reversal of 1073952000 is 2593701.

1073952000 is a `hidden beast` number, since 107 + 39 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1073951993) and next prime (1073952007).

It is a tau number, because it is divible by the number of its divisors (576).

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 (1073952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503944 + ... + 9504056.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^1073952000 is an apocalyptic number.

1073952000 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 1073952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181029760).

1073952000 is an abundant number, since it is smaller than the sum of its proper divisors (3288107520).

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

1073952000 is a wasteful number, since it uses less digits than its factorization.

1073952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1073952000 is about 32771.2068743280. The cubic root of 1073952000 is about 1024.0668087921.

The spelling of 1073952000 in words is "one billion, seventy-three million, nine hundred fifty-two thousand".