1007163468 has 72 divisors (see below), whose sum is σ = 2667476448. Its totient is φ = 319807488.

The previous prime is 1007163403. The next prime is 1007163503. The reversal of 1007163468 is 8643617001.

1007163468 is a `hidden beast` number, since 10 + 0 + 7 + 1 + 634 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210430 + ... + 215162.

It is an arithmetic number, because the mean of its divisors is an integer number (37048284).

Almost surely, 2^1007163468 is an apocalyptic number.

1007163468 is a gapful number since it is divisible by the number (18) 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 1007163468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333738224).

1007163468 is an abundant number, since it is smaller than the sum of its proper divisors (1660312980).

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

1007163468 is a wasteful number, since it uses less digits than its factorization.

1007163468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1007163468 is about 31735.8388576700. The cubic root of 1007163468 is about 1002.3821435529.

The spelling of 1007163468 in words is "one billion, seven million, one hundred sixty-three thousand, four hundred sixty-eight".