1306417620 has 96 divisors (see below), whose sum is σ = 3701972736. Its totient is φ = 344217600.

The previous prime is 1306417603. The next prime is 1306417681. The reversal of 1306417620 is 267146031.

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

It is a congruent number.

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, 2414550 + ... + 2415090.

It is an arithmetic number, because the mean of its divisors is an integer number (38562216).

Almost surely, 2^1306417620 is an apocalyptic number.

1306417620 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 1306417620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850986368).

1306417620 is an abundant number, since it is smaller than the sum of its proper divisors (2395555116).

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

1306417620 is a wasteful number, since it uses less digits than its factorization.

1306417620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1306417620 is about 36144.3995661845. The cubic root of 1306417620 is about 1093.1858704136.

The spelling of 1306417620 in words is "one billion, three hundred six million, four hundred seventeen thousand, six hundred twenty".