1000613376 has 240 divisors, whose sum is σ = 3356880384. Its totient is φ = 281014272.

The previous prime is 1000613357. The next prime is 1000613377. The reversal of 1000613376 is 6733160001.

1000613376 is a `hidden beast` number, since 10 + 0 + 0 + 613 + 37 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000613377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160921 + ... + 2161383.

Almost surely, 2^1000613376 is an apocalyptic number.

1000613376 is a gapful number since it is divisible by the number (16) 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 1000613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678440192).

1000613376 is an abundant number, since it is smaller than the sum of its proper divisors (2356267008).

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

1000613376 is an equidigital number, since it uses as much as digits as its factorization.

1000613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1000613376 is about 31632.4734410700. The cubic root of 1000613376 is about 1000.2044168776.

Adding to 1000613376 its reverse (6733160001), we get a palindrome (7733773377).

The spelling of 1000613376 in words is "one billion, six hundred thirteen thousand, three hundred seventy-six".