820261512 has 256 divisors, whose sum is σ = 2755584000. Its totient is φ = 221025024.

The previous prime is 820261471. The next prime is 820261513. The reversal of 820261512 is 215162028.

It is a happy number.

It is a super-2 number, since 2×820261512² = 1345657896137052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (820261513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581814 + ... + 3582042.

It is an arithmetic number, because the mean of its divisors is an integer number (10764000).

Almost surely, 2^820261512 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 820261512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377792000).

820261512 is an abundant number, since it is smaller than the sum of its proper divisors (1935322488).

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

820261512 is a wasteful number, since it uses less digits than its factorization.

820261512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 820261512 is about 28640.2079601388. The cubic root of 820261512 is about 936.0896528195.

It can be divided in two parts, 82026 and 1512, that added together give a palindrome (83538).

The spelling of 820261512 in words is "eight hundred twenty million, two hundred sixty-one thousand, five hundred twelve".