1652185920 has 672 divisors, whose sum is σ = 6938320896. Its totient is φ = 329011200.

The previous prime is 1652185903. The next prime is 1652185937. The reversal of 1652185920 is 295812561.

It is an interprime number because it is at equal distance from previous prime (1652185903) and next prime (1652185937).

It is a tau number, because it is divible by the number of its divisors (672).

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, 16040589 + ... + 16040691.

Almost surely, 2^1652185920 is an apocalyptic number.

1652185920 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 1652185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469160448).

1652185920 is an abundant number, since it is smaller than the sum of its proper divisors (5286134976).

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

1652185920 is a wasteful number, since it uses less digits than its factorization.

1652185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1652185920 is about 40647.0899327369. The cubic root of 1652185920 is about 1182.1873437951.

The spelling of 1652185920 in words is "one billion, six hundred fifty-two million, one hundred eighty-five thousand, nine hundred twenty".