1611671040 has 320 divisors, whose sum is σ = 6544581120. Its totient is φ = 368271360.

The previous prime is 1611670999. The next prime is 1611671069. The reversal of 1611671040 is 401761161.

1611671040 is a `hidden beast` number, since 1 + 611 + 6 + 7 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 1611670995 and 1611671013.

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, 482175 + ... + 485505.

It is an arithmetic number, because the mean of its divisors is an integer number (20451816).

Almost surely, 2^1611671040 is an apocalyptic number.

1611671040 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 1611671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272290560).

1611671040 is an abundant number, since it is smaller than the sum of its proper divisors (4932910080).

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

1611671040 is an equidigital number, since it uses as much as digits as its factorization.

1611671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1611671040 is about 40145.6229245481. The cubic root of 1611671040 is about 1172.4440690841. Note that the first 3 decimals are identical.

The spelling of 1611671040 in words is "one billion, six hundred eleven million, six hundred seventy-one thousand, forty".