1690053120 has 480 divisors, whose sum is σ = 6997320000. Its totient is φ = 385523712.

The previous prime is 1690053103. The next prime is 1690053121. The reversal of 1690053120 is 213500961.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1690053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386631 + ... + 3387129.

It is an arithmetic number, because the mean of its divisors is an integer number (14577750).

Almost surely, 2^1690053120 is an apocalyptic number.

1690053120 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 1690053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498660000).

1690053120 is an abundant number, since it is smaller than the sum of its proper divisors (5307266880).

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

1690053120 is an equidigital number, since it uses as much as digits as its factorization.

1690053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1690053120 is about 41110.2556547633. The cubic root of 1690053120 is about 1191.1509050012.

The spelling of 1690053120 in words is "one billion, six hundred ninety million, fifty-three thousand, one hundred twenty".