820962072 has 72 divisors (see below), whose sum is σ = 2586460500. Its totient is φ = 234559584.

The previous prime is 820962061. The next prime is 820962091. The reversal of 820962072 is 270269028.

820962072 is a `hidden beast` number, since 8 + 20 + 9 + 620 + 7 + 2 = 666.

820962072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112822 + ... + 119877.

Almost surely, 2^820962072 is an apocalyptic number.

It is an amenable number.

820962072 is an abundant number, since it is smaller than the sum of its proper divisors (1765498428).

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

820962072 is a wasteful number, since it uses less digits than its factorization.

820962072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232725 (or 232711 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 820962072 is about 28652.4357079813. The cubic root of 820962072 is about 936.3560720652.

The spelling of 820962072 in words is "eight hundred twenty million, nine hundred sixty-two thousand, seventy-two".