820675152 has 240 divisors, whose sum is σ = 2686494720. Its totient is φ = 240278400.

The previous prime is 820675139. The next prime is 820675159. The reversal of 820675152 is 251576028.

It is a happy number.

820675152 is a `hidden beast` number, since 82 + 0 + 67 + 515 + 2 = 666.

It is a super-2 number, since 2×820675152² = 1347015410220446208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820675159) 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 47 ways as a sum of consecutive naturals, for example, 1325499 + ... + 1326117.

It is an arithmetic number, because the mean of its divisors is an integer number (11193728).

Almost surely, 2^820675152 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 820675152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343247360).

820675152 is an abundant number, since it is smaller than the sum of its proper divisors (1865819568).

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

820675152 is a wasteful number, since it uses less digits than its factorization.

820675152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 820675152 is about 28647.4283662600. The cubic root of 820675152 is about 936.2469762464.

The spelling of 820675152 in words is "eight hundred twenty million, six hundred seventy-five thousand, one hundred fifty-two".