1061527680 has 160 divisors (see below), whose sum is σ = 3791092140. Its totient is φ = 283060224.

The previous prime is 1061527667. The next prime is 1061527681. The reversal of 1061527680 is 867251601.

1061527680 is a `hidden beast` number, since 10 + 61 + 527 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1054430784 + 7096896 = 32472^2 + 2664^2 .

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

It is a super-2 number, since 2×1061527680² = 2253682030812364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1061527681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41602 + ... + 62078.

Almost surely, 2^1061527680 is an apocalyptic number.

1061527680 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 1061527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895546070).

1061527680 is an abundant number, since it is smaller than the sum of its proper divisors (2729564460).

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

1061527680 is an equidigital number, since it uses as much as digits as its factorization.

1061527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20508 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1061527680 is about 32581.0939042875. The cubic root of 1061527680 is about 1020.1024118624.

The spelling of 1061527680 in words is "one billion, sixty-one million, five hundred twenty-seven thousand, six hundred eighty".