1061528800 has 72 divisors (see below), whose sum is σ = 2606130072. Its totient is φ = 422208000.

The previous prime is 1061528761. The next prime is 1061528849. The reversal of 1061528800 is 88251601.

1061528800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061528800² = 2253686786458880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141135 + ... + 148465.

It is an arithmetic number, because the mean of its divisors is an integer number (36196251).

Almost surely, 2^1061528800 is an apocalyptic number.

1061528800 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 1061528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303065036).

1061528800 is an abundant number, since it is smaller than the sum of its proper divisors (1544601272).

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

1061528800 is a wasteful number, since it uses less digits than its factorization.

1061528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1061528800 is about 32581.1110921650. Note that the first 3 decimals coincide. The cubic root of 1061528800 is about 1020.1027706266.

The spelling of 1061528800 in words is "one billion, sixty-one million, five hundred twenty-eight thousand, eight hundred".