1645852032 has 192 divisors, whose sum is σ = 5392258560. Its totient is φ = 476974080.

The previous prime is 1645851997. The next prime is 1645852073. The reversal of 1645852032 is 2302585461.

1645852032 is a `hidden beast` number, since 1 + 645 + 8 + 5 + 2 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1645852032² = 5417657822477058048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 288633 + ... + 294279.

It is an arithmetic number, because the mean of its divisors is an integer number (28084680).

Almost surely, 2^1645852032 is an apocalyptic number.

1645852032 is a gapful number since it is divisible by the number (12) 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 1645852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696129280).

1645852032 is an abundant number, since it is smaller than the sum of its proper divisors (3746406528).

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

1645852032 is a wasteful number, since it uses less digits than its factorization.

1645852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1645852032 is about 40569.1019373118. The cubic root of 1645852032 is about 1180.6747151540.

The spelling of 1645852032 in words is "one billion, six hundred forty-five million, eight hundred fifty-two thousand, thirty-two".