820623552 has 56 divisors (see below), whose sum is σ = 2481413376. Its totient is φ = 234463488.

The previous prime is 820623533. The next prime is 820623631. The reversal of 820623552 is 255326028.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303948 + ... + 306635.

Almost surely, 2^820623552 is an apocalyptic number.

It is an amenable number.

820623552 is an abundant number, since it is smaller than the sum of its proper divisors (1660789824).

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

820623552 is a wasteful number, since it uses less digits than its factorization.

820623552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610605 (or 610595 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 820623552 is about 28646.5277477044. The cubic root of 820623552 is about 936.2273536399.

The spelling of 820623552 in words is "eight hundred twenty million, six hundred twenty-three thousand, five hundred fifty-two".