1671017040 has 800 divisors, whose sum is σ = 7700292864. Its totient is φ = 325140480.

The previous prime is 1671017039. The next prime is 1671017041. The reversal of 1671017040 is 407101761.

It is an interprime number because it is at equal distance from previous prime (1671017039) and next prime (1671017041).

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 = 1671016995 and 1671017013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1671017041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8482222 + ... + 8482418.

Almost surely, 2^1671017040 is an apocalyptic number.

1671017040 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 1671017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850146432).

1671017040 is an abundant number, since it is smaller than the sum of its proper divisors (6029275824).

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

1671017040 is a wasteful number, since it uses less digits than its factorization.

1671017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1671017040 is about 40878.0752971565. The cubic root of 1671017040 is about 1186.6617928232.

The spelling of 1671017040 in words is "one billion, six hundred seventy-one million, seventeen thousand, forty".