1206400896 has 96 divisors (see below), whose sum is σ = 3654323400. Its totient is φ = 380961792.

The previous prime is 1206400883. The next prime is 1206400981. The reversal of 1206400896 is 6980046021.

1206400896 is a `hidden beast` number, since 1 + 2 + 0 + 640 + 0 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1206400896.

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, 5671 + ... + 49446.

Almost surely, 2^1206400896 is an apocalyptic number.

1206400896 is a gapful number since it is divisible by the number (16) 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 1206400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827161700).

1206400896 is an abundant number, since it is smaller than the sum of its proper divisors (2447922504).

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

1206400896 is a wasteful number, since it uses less digits than its factorization.

1206400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55156 (or 55141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1206400896 is about 34733.2822520418. The cubic root of 1206400896 is about 1064.5446549100.

The spelling of 1206400896 in words is "one billion, two hundred six million, four hundred thousand, eight hundred ninety-six".