1060400320 has 112 divisors (see below), whose sum is σ = 2897916480. Its totient is φ = 362041344.

The previous prime is 1060400311. The next prime is 1060400321. The reversal of 1060400320 is 230040601.

1060400320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1060400320² = 2248897677312204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1060400294 and 1060400303.

It is not an unprimeable number, because it can be changed into a prime (1060400321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619626 + ... + 621334.

Almost surely, 2^1060400320 is an apocalyptic number.

1060400320 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 1060400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448958240).

1060400320 is an abundant number, since it is smaller than the sum of its proper divisors (1837516160).

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

1060400320 is a wasteful number, since it uses less digits than its factorization.

1060400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1060400320 is about 32563.7884773870. The cubic root of 1060400320 is about 1019.7411620551.

Adding to 1060400320 its reverse (230040601), we get a palindrome (1290440921).

The spelling of 1060400320 in words is "one billion, sixty million, four hundred thousand, three hundred twenty".