1606420512 has 288 divisors, whose sum is σ = 5085400320. Its totient is φ = 497352960.

The previous prime is 1606420477. The next prime is 1606420561. The reversal of 1606420512 is 2150246061.

1606420512 is a `hidden beast` number, since 1 + 6 + 0 + 642 + 0 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1606420512² = 5161173722748684288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12262687 + ... + 12262817.

It is an arithmetic number, because the mean of its divisors is an integer number (17657640).

Almost surely, 2^1606420512 is an apocalyptic number.

1606420512 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 1606420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542700160).

1606420512 is an abundant number, since it is smaller than the sum of its proper divisors (3478979808).

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

1606420512 is a wasteful number, since it uses less digits than its factorization.

1606420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1606420512 is about 40080.1760475176. The cubic root of 1606420512 is about 1171.1694815348.

Adding to 1606420512 its reverse (2150246061), we get a palindrome (3756666573).

The spelling of 1606420512 in words is "one billion, six hundred six million, four hundred twenty thousand, five hundred twelve".