1606419360 has 864 divisors, whose sum is σ = 7251648768. Its totient is φ = 316293120.

The previous prime is 1606419329. The next prime is 1606419371. The reversal of 1606419360 is 639146061.

1606419360 is a `hidden beast` number, since 1 + 6 + 0 + 641 + 9 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39180940 + ... + 39180980.

It is an arithmetic number, because the mean of its divisors is an integer number (8393112).

Almost surely, 2^1606419360 is an apocalyptic number.

1606419360 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 1606419360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625824384).

1606419360 is an abundant number, since it is smaller than the sum of its proper divisors (5645229408).

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

1606419360 is a wasteful number, since it uses less digits than its factorization.

1606419360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1606419360 is about 40080.1616763206. The cubic root of 1606419360 is about 1171.1692015775.

The spelling of 1606419360 in words is "one billion, six hundred six million, four hundred nineteen thousand, three hundred sixty".