1607482020 has 96 divisors (see below), whose sum is σ = 4637541888. Its totient is φ = 415729152.

The previous prime is 1607482013. The next prime is 1607482021. The reversal of 1607482020 is 202847061.

1607482020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1607482021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813754 + ... + 815726.

It is an arithmetic number, because the mean of its divisors is an integer number (48307728).

Almost surely, 2^1607482020 is an apocalyptic number.

1607482020 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 1607482020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318770944).

1607482020 is an abundant number, since it is smaller than the sum of its proper divisors (3030059868).

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

1607482020 is a wasteful number, since it uses less digits than its factorization.

1607482020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1607482020 is about 40093.4161677450. The cubic root of 1607482020 is about 1171.4273907668.

The spelling of 1607482020 in words is "one billion, six hundred seven million, four hundred eighty-two thousand, twenty".