1206475720 has 64 divisors (see below), whose sum is σ = 2882271600. Its totient is φ = 452935680.

The previous prime is 1206475709. The next prime is 1206475727. The reversal of 1206475720 is 275746021.

It can be written as a sum of positive squares in 8 ways, for example, as 429069796 + 777405924 = 20714^2 + 27882^2 .

It is a super-3 number, since 3×1206475720³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1206475727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262240 + ... + 266800.

Almost surely, 2^1206475720 is an apocalyptic number.

1206475720 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 1206475720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441135800).

1206475720 is an abundant number, since it is smaller than the sum of its proper divisors (1675795880).

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

1206475720 is a wasteful number, since it uses less digits than its factorization.

1206475720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 1206475720 is about 34734.3593578462. The cubic root of 1206475720 is about 1064.5666630287.

The spelling of 1206475720 in words is "one billion, two hundred six million, four hundred seventy-five thousand, seven hundred twenty".