1007631360 has 352 divisors, whose sum is σ = 3696390720. Its totient is φ = 260112384.

The previous prime is 1007631353. The next prime is 1007631377. The reversal of 1007631360 is 631367001.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5114782 + ... + 5114978.

It is an arithmetic number, because the mean of its divisors is an integer number (10501110).

Almost surely, 2^1007631360 is an apocalyptic number.

1007631360 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 1007631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848195360).

1007631360 is an abundant number, since it is smaller than the sum of its proper divisors (2688759360).

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

1007631360 is a wasteful number, since it uses less digits than its factorization.

1007631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

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

The square root of 1007631360 is about 31743.2096675809. The cubic root of 1007631360 is about 1002.5373431114.

Adding to 1007631360 its reverse (631367001), we get a palindrome (1638998361).

The spelling of 1007631360 in words is "one billion, seven million, six hundred thirty-one thousand, three hundred sixty".