1246879872 has 384 divisors, whose sum is σ = 4418640000. Its totient is φ = 344881152.

The previous prime is 1246879871. The next prime is 1246879889. The reversal of 1246879872 is 2789786421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1246879871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6265629 + ... + 6265827.

It is an arithmetic number, because the mean of its divisors is an integer number (11506875).

Almost surely, 2^1246879872 is an apocalyptic number.

1246879872 is a gapful number since it is divisible by the number (12) 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 1246879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209320000).

1246879872 is an abundant number, since it is smaller than the sum of its proper divisors (3171760128).

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

1246879872 is a wasteful number, since it uses less digits than its factorization.

1246879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1246879872 is about 35311.1862162686. The cubic root of 1246879872 is about 1076.3203166431.

The spelling of 1246879872 in words is "one billion, two hundred forty-six million, eight hundred seventy-nine thousand, eight hundred seventy-two".