1664506900 has 72 divisors (see below), whose sum is σ = 4177857600. Its totient is φ = 563792640.

The previous prime is 1664506897. The next prime is 1664506919. The reversal of 1664506900 is 96054661.

It is a super-2 number, since 2×1664506900² = 5541166440295220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1664506900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43776 + ... + 72424.

It is an arithmetic number, because the mean of its divisors is an integer number (58025800).

Almost surely, 2^1664506900 is an apocalyptic number.

1664506900 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 1664506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088928800).

1664506900 is an abundant number, since it is smaller than the sum of its proper divisors (2513350700).

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

1664506900 is a wasteful number, since it uses less digits than its factorization.

1664506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28753 (or 28746 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1664506900 is about 40798.3688399426. The cubic root of 1664506900 is about 1185.1187428115.

The spelling of 1664506900 in words is "one billion, six hundred sixty-four million, five hundred six thousand, nine hundred".