1249972608 has 192 divisors, whose sum is σ = 3581521920. Its totient is φ = 386104320.

The previous prime is 1249972601. The next prime is 1249972621. The reversal of 1249972608 is 8062799421.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249972601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9842241 + ... + 9842367.

It is an arithmetic number, because the mean of its divisors is an integer number (18653760).

Almost surely, 2^1249972608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790760960).

1249972608 is an abundant number, since it is smaller than the sum of its proper divisors (2331549312).

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

1249972608 is a wasteful number, since it uses less digits than its factorization.

1249972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1249972608 is about 35354.9516758261. The cubic root of 1249972608 is about 1077.2094763885.

The spelling of 1249972608 in words is "one billion, two hundred forty-nine million, nine hundred seventy-two thousand, six hundred eight".