1061264160 has 384 divisors, whose sum is σ = 4232632320. Its totient is φ = 245836800.

The previous prime is 1061264147. The next prime is 1061264167. The reversal of 1061264160 is 614621601.

1061264160 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 641 + 6 + 0 = 666.

It is a super-2 number, since 2×1061264160² = 2252563234601011200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1061264167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092475 + ... + 1093445.

It is an arithmetic number, because the mean of its divisors is an integer number (11022480).

Almost surely, 2^1061264160 is an apocalyptic number.

1061264160 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 1061264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116316160).

1061264160 is an abundant number, since it is smaller than the sum of its proper divisors (3171368160).

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

1061264160 is a wasteful number, since it uses less digits than its factorization.

1061264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1061264160 is about 32577.0495901639. The cubic root of 1061264160 is about 1020.0179927622.

Adding to 1061264160 its reverse (614621601), we get a palindrome (1675885761).

The spelling of 1061264160 in words is "one billion, sixty-one million, two hundred sixty-four thousand, one hundred sixty".