1206564040 has 64 divisors (see below), whose sum is σ = 2965584960. Its totient is φ = 438155520.

The previous prime is 1206564019. The next prime is 1206564041. The reversal of 1206564040 is 404656021.

It is a super-2 number, since 2×1206564040² = 2911593565242243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1206564041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444367 + ... + 447073.

It is an arithmetic number, because the mean of its divisors is an integer number (46337265).

Almost surely, 2^1206564040 is an apocalyptic number.

1206564040 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 1206564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482792480).

1206564040 is an abundant number, since it is smaller than the sum of its proper divisors (1759020920).

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

1206564040 is a wasteful number, since it uses less digits than its factorization.

1206564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1206564040 is about 34735.6306981750. The cubic root of 1206564040 is about 1064.5926395795.

The spelling of 1206564040 in words is "one billion, two hundred six million, five hundred sixty-four thousand, forty".