1071552000 has 160 divisors (see below), whose sum is σ = 3563280864. Its totient is φ = 285696000.

The previous prime is 1071551989. The next prime is 1071552011. The reversal of 1071552000 is 2551701.

It is an interprime number because it is at equal distance from previous prime (1071551989) and next prime (1071552011).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1071552000² = 2296447377408000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189210 + ... + 194790.

Almost surely, 2^1071552000 is an apocalyptic number.

1071552000 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 1071552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781640432).

1071552000 is an abundant number, since it is smaller than the sum of its proper divisors (2491728864).

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

1071552000 is an frugal number, since it uses more digits than its factorization.

1071552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 1071552000 is about 32734.5688836740. The cubic root of 1071552000 is about 1023.3033999268.

The spelling of 1071552000 in words is "one billion, seventy-one million, five hundred fifty-two thousand".