12772620 has 192 divisors, whose sum is σ = 47308800. Its totient is φ = 2799360.

The previous prime is 12772619. The next prime is 12772633. The reversal of 12772620 is 2627721.

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 63 ways as a sum of consecutive naturals, for example, 117126 + ... + 117234.

It is an arithmetic number, because the mean of its divisors is an integer number (246400).

Almost surely, 2^12772620 is an apocalyptic number.

12772620 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 12772620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654400).

12772620 is an abundant number, since it is smaller than the sum of its proper divisors (34536180).

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

12772620 is a wasteful number, since it uses less digits than its factorization.

12772620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12772620 is about 3573.8802442164. The cubic root of 12772620 is about 233.7545091450.

The spelling of 12772620 in words is "twelve million, seven hundred seventy-two thousand, six hundred twenty".