1006061420 has 96 divisors (see below), whose sum is σ = 2607728256. Its totient is φ = 317491200.

The previous prime is 1006061393. The next prime is 1006061431. The reversal of 1006061420 is 241606001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1006061392 and 1006061401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947690 + ... + 948750.

It is an arithmetic number, because the mean of its divisors is an integer number (27163836).

Almost surely, 2^1006061420 is an apocalyptic number.

1006061420 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 1006061420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303864128).

1006061420 is an abundant number, since it is smaller than the sum of its proper divisors (1601666836).

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

1006061420 is a wasteful number, since it uses less digits than its factorization.

1006061420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1006061420 is about 31718.4712746374. The cubic root of 1006061420 is about 1002.0164047125.

Adding to 1006061420 its reverse (241606001), we get a palindrome (1247667421).

The spelling of 1006061420 in words is "one billion, six million, sixty-one thousand, four hundred twenty".