1620608832 has 168 divisors, whose sum is σ = 4759040520. Its totient is φ = 527155200.

The previous prime is 1620608831. The next prime is 1620608849. The reversal of 1620608832 is 2388060261.

1620608832 is a `hidden beast` number, since 16 + 2 + 0 + 608 + 8 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 1575772416 = 6696^2 + 39696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620608831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5177508 + ... + 5177820.

Almost surely, 2^1620608832 is an apocalyptic number.

1620608832 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 1620608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379520260).

1620608832 is an abundant number, since it is smaller than the sum of its proper divisors (3138431688).

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

1620608832 is a wasteful number, since it uses less digits than its factorization.

1620608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1620608832 is about 40256.7861608450. The cubic root of 1620608832 is about 1174.6074033487.

The spelling of 1620608832 in words is "one billion, six hundred twenty million, six hundred eight thousand, eight hundred thirty-two".