1004671360 has 512 divisors, whose sum is σ = 3348864000. Its totient is φ = 278691840.

The previous prime is 1004671313. The next prime is 1004671433. The reversal of 1004671360 is 631764001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27153262 + ... + 27153298.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2^1004671360 is an apocalyptic number.

1004671360 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 1004671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674432000).

1004671360 is an abundant number, since it is smaller than the sum of its proper divisors (2344192640).

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

1004671360 is a wasteful number, since it uses less digits than its factorization.

1004671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1004671360 is about 31696.5512319558. The cubic root of 1004671360 is about 1001.5547016502.

It can be divided in two parts, 10046 and 71360, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 1004671360 in words is "one billion, four million, six hundred seventy-one thousand, three hundred sixty".