1667615040 has 840 divisors, whose sum is σ = 7504873992. Its totient is φ = 348364800.

The previous prime is 1667615039. The next prime is 1667615071. The reversal of 1667615040 is 405167661.

It can be written as a sum of positive squares in 4 ways, for example, as 276623424 + 1390991616 = 16632^2 + 37296^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 1667614986 and 1667615004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510990 + ... + 16511090.

Almost surely, 2^1667615040 is an apocalyptic number.

1667615040 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 1667615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752436996).

1667615040 is an abundant number, since it is smaller than the sum of its proper divisors (5837258952).

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

1667615040 is a wasteful number, since it uses less digits than its factorization.

1667615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1667615040 is about 40836.4425482926. The cubic root of 1667615040 is about 1185.8559430393.

The spelling of 1667615040 in words is "one billion, six hundred sixty-seven million, six hundred fifteen thousand, forty".