1664345100 has 288 divisors, whose sum is σ = 5538145536. Its totient is φ = 382233600.

The previous prime is 1664345099. The next prime is 1664345117. The reversal of 1664345100 is 15434661.

It is a super-2 number, since 2×1664345100² = 5540089223788020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5250142 + ... + 5250458.

It is an arithmetic number, because the mean of its divisors is an integer number (19229672).

Almost surely, 2^1664345100 is an apocalyptic number.

1664345100 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 1664345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769072768).

1664345100 is an abundant number, since it is smaller than the sum of its proper divisors (3873800436).

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

1664345100 is a wasteful number, since it uses less digits than its factorization.

1664345100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1664345100 is about 40796.3858693390. The cubic root of 1664345100 is about 1185.0803413634.

Adding to 1664345100 its reverse (15434661), we get a palindrome (1679779761).

The spelling of 1664345100 in words is "one billion, six hundred sixty-four million, three hundred forty-five thousand, one hundred".