1306215000 has 120 divisors (see below), whose sum is σ = 4420819260. Its totient is φ = 348312000.

The previous prime is 1306214971. The next prime is 1306215067. The reversal of 1306215000 is 5126031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×1306215000⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30487 + ... + 59513.

Almost surely, 2^1306215000 is an apocalyptic number.

1306215000 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 1306215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210409630).

1306215000 is an abundant number, since it is smaller than the sum of its proper divisors (3114604260).

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

1306215000 is a wasteful number, since it uses less digits than its factorization.

1306215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29059 (or 29037 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1306215000 is about 36141.5965336342. The cubic root of 1306215000 is about 1093.1293512807.

It can be divided in two parts, 1 and 306215000, that added together give a square (306215001 = 17499²).

The spelling of 1306215000 in words is "one billion, three hundred six million, two hundred fifteen thousand".