1206871400 has 96 divisors (see below), whose sum is σ = 3219674880. Its totient is φ = 412128000.

The previous prime is 1206871363. The next prime is 1206871409. The reversal of 1206871400 is 41786021.

It is a super-2 number, since 2×1206871400² = 2913077152275920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1206871409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377810 + ... + 380990.

It is an arithmetic number, because the mean of its divisors is an integer number (33538280).

Almost surely, 2^1206871400 is an apocalyptic number.

1206871400 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 1206871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609837440).

1206871400 is an abundant number, since it is smaller than the sum of its proper divisors (2012803480).

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

1206871400 is a wasteful number, since it uses less digits than its factorization.

1206871400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1206871400 is about 34740.0546919546. The cubic root of 1206871400 is about 1064.6830299779.

The spelling of 1206871400 in words is "one billion, two hundred six million, eight hundred seventy-one thousand, four hundred".