1620833760 has 1152 divisors, whose sum is σ = 7722086400. Its totient is φ = 313528320.

The previous prime is 1620833749. The next prime is 1620833777. The reversal of 1620833760 is 673380261.

It is a happy number.

1620833760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1620833760³ (a number of 29 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 52284945 + ... + 52284975.

It is an arithmetic number, because the mean of its divisors is an integer number (6703200).

Almost surely, 2^1620833760 is an apocalyptic number.

1620833760 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 1620833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861043200).

1620833760 is an abundant number, since it is smaller than the sum of its proper divisors (6101252640).

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

1620833760 is a wasteful number, since it uses less digits than its factorization.

1620833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1620833760 is about 40259.5797295501. The cubic root of 1620833760 is about 1174.6617429826.

The spelling of 1620833760 in words is "one billion, six hundred twenty million, eight hundred thirty-three thousand, seven hundred sixty".