1008167040 has 256 divisors, whose sum is σ = 3660249600. Its totient is φ = 262103040.

The previous prime is 1008167033. The next prime is 1008167047. The reversal of 1008167040 is 407618001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1008167033) and next prime (1008167047).

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

It is a junction number, because it is equal to n+sod(n) for n = 1008166995 and 1008167013.

It is not an unprimeable number, because it can be changed into a prime (1008167047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707769 + ... + 709191.

It is an arithmetic number, because the mean of its divisors is an integer number (14297850).

Almost surely, 2^1008167040 is an apocalyptic number.

1008167040 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 1008167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830124800).

1008167040 is an abundant number, since it is smaller than the sum of its proper divisors (2652082560).

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

1008167040 is a wasteful number, since it uses less digits than its factorization.

1008167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1008167040 is about 31751.6462565329. The cubic root of 1008167040 is about 1002.7149689396.

The spelling of 1008167040 in words is "one billion, eight million, one hundred sixty-seven thousand, forty".