1206416640 has 360 divisors, whose sum is σ = 4553525088. Its totient is φ = 269967360.

The previous prime is 1206416639. The next prime is 1206416641. The reversal of 1206416640 is 466146021.

It is an interprime number because it is at equal distance from previous prime (1206416639) and next prime (1206416641).

It is a super-2 number, since 2×1206416640² = 2910882218537779200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1206416598 and 1206416607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206416641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92801274 + ... + 92801286.

Almost surely, 2^1206416640 is an apocalyptic number.

1206416640 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 1206416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276762544).

1206416640 is an abundant number, since it is smaller than the sum of its proper divisors (3347108448).

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

1206416640 is an frugal number, since it uses more digits than its factorization.

1206416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1206416640 is about 34733.5088927105. The cubic root of 1206416640 is about 1064.5492857968.

The spelling of 1206416640 in words is "one billion, two hundred six million, four hundred sixteen thousand, six hundred forty".