1266602400 has 288 divisors, whose sum is σ = 5235914880. Its totient is φ = 289474560.

The previous prime is 1266602291. The next prime is 1266602411. The reversal of 1266602400 is 42066621.

It is a happy number.

1266602400 is digitally balanced in base 4, 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147012 + ... + 155388.

It is an arithmetic number, because the mean of its divisors is an integer number (18180260).

Almost surely, 2^1266602400 is an apocalyptic number.

1266602400 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 1266602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617957440).

1266602400 is an abundant number, since it is smaller than the sum of its proper divisors (3969312480).

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

1266602400 is a wasteful number, since it uses less digits than its factorization.

1266602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1266602400 is about 35589.3579599295. The cubic root of 1266602400 is about 1081.9655563990.

The spelling of 1266602400 in words is "one billion, two hundred sixty-six million, six hundred two thousand, four hundred".