1669631040 has 336 divisors, whose sum is σ = 7160849280. Its totient is φ = 346890240.

The previous prime is 1669631021. The next prime is 1669631053. The reversal of 1669631040 is 401369661.

1669631040 is a `hidden beast` number, since 16 + 6 + 9 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 1669630986 and 1669631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217996 + ... + 225524.

Almost surely, 2^1669631040 is an apocalyptic number.

1669631040 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 1669631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580424640).

1669631040 is an abundant number, since it is smaller than the sum of its proper divisors (5491218240).

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

1669631040 is a wasteful number, since it uses less digits than its factorization.

1669631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7557 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1669631040 is about 40861.1189274107. The cubic root of 1669631040 is about 1186.3336158023. Note that the first 3 decimals are identical.

The spelling of 1669631040 in words is "one billion, six hundred sixty-nine million, six hundred thirty-one thousand, forty".