1061338464 has 144 divisors (see below), whose sum is σ = 3207269520. Its totient is φ = 345047040.

The previous prime is 1061338463. The next prime is 1061338483. The reversal of 1061338464 is 4648331601.

It is a happy number.

1061338464 is a `hidden beast` number, since 1 + 0 + 613 + 38 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1061338464² = 2252878670331758592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061338463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317152 + ... + 320480.

It is an arithmetic number, because the mean of its divisors is an integer number (22272705).

Almost surely, 2^1061338464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603634760).

1061338464 is an abundant number, since it is smaller than the sum of its proper divisors (2145931056).

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

1061338464 is an equidigital number, since it uses as much as digits as its factorization.

1061338464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1061338464 is about 32578.1900049711. The cubic root of 1061338464 is about 1020.0417975952.

The spelling of 1061338464 in words is "one billion, sixty-one million, three hundred thirty-eight thousand, four hundred sixty-four".