1206632400 has 60 divisors (see below), whose sum is σ = 3865249632. Its totient is φ = 321768320.

The previous prime is 1206632311. The next prime is 1206632447. The reversal of 1206632400 is 42366021.

1206632400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501564 + ... + 503963.

Almost surely, 2^1206632400 is an apocalyptic number.

1206632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1206632400 is an abundant number, since it is smaller than the sum of its proper divisors (2658617232).

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

1206632400 is a wasteful number, since it uses less digits than its factorization.

1206632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005548 (or 1005537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1206632400 is about 34736.6146882508. The cubic root of 1206632400 is about 1064.6127446537.

Adding to 1206632400 its reverse (42366021), we get a palindrome (1248998421).

The spelling of 1206632400 in words is "one billion, two hundred six million, six hundred thirty-two thousand, four hundred".