1667291040 has 576 divisors, whose sum is σ = 6483335040. Its totient is φ = 403107840.

The previous prime is 1667291039. The next prime is 1667291057. The reversal of 1667291040 is 401927661.

It is a super-3 number, since 3×1667291040³ (a number of 29 digits) contains 333 as substring.

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 = 1667290986 and 1667291004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27332610 + ... + 27332670.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^1667291040 is an apocalyptic number.

1667291040 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 1667291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

1667291040 is an abundant number, since it is smaller than the sum of its proper divisors (4816044000).

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

1667291040 is a wasteful number, since it uses less digits than its factorization.

1667291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1667291040 is about 40832.4753107132. The cubic root of 1667291040 is about 1185.7791383008.

The spelling of 1667291040 in words is "one billion, six hundred sixty-seven million, two hundred ninety-one thousand, forty".