1249351680 has 192 divisors, whose sum is σ = 4063288320. Its totient is φ = 327647232.

The previous prime is 1249351661. The next prime is 1249351703. The reversal of 1249351680 is 861539421.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057937 + ... + 2058543.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^1249351680 is an apocalyptic number.

1249351680 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 1249351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1249351680 is an abundant number, since it is smaller than the sum of its proper divisors (2813936640).

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

1249351680 is an equidigital number, since it uses as much as digits as its factorization.

1249351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1249351680 is about 35346.1692408102. The cubic root of 1249351680 is about 1077.0310777296.

The spelling of 1249351680 in words is "one billion, two hundred forty-nine million, three hundred fifty-one thousand, six hundred eighty".