1251600 has 120 divisors (see below), whose sum is σ = 4612800. Its totient is φ = 284160.

The previous prime is 1251583. The next prime is 1251641. The reversal of 1251600 is 61521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1251600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8326 + ... + 8474.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

2^1251600 is an apocalyptic number.

1251600 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 1251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306400).

1251600 is an abundant number, since it is smaller than the sum of its proper divisors (3361200).

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

1251600 is a wasteful number, since it uses less digits than its factorization.

1251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1251600 is about 1118.7493016758. The cubic root of 1251600 is about 107.7676761788.

The spelling of 1251600 in words is "one million, two hundred fifty-one thousand, six hundred".