906632012520 has 192 divisors, whose sum is σ = 3226996281600. Its totient is φ = 219388331520.

The previous prime is 906632012491. The next prime is 906632012521. The reversal of 906632012520 is 25210236609.

906632012520 is a `hidden beast` number, since 9 + 0 + 6 + 632 + 0 + 12 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×906632012520² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (906632012521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365616 + ... + 1917855.

It is an arithmetic number, because the mean of its divisors is an integer number (16807272300).

Almost surely, 2^906632012520 is an apocalyptic number.

906632012520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

906632012520 is an abundant number, since it is smaller than the sum of its proper divisors (2320364269080).

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

906632012520 is a wasteful number, since it uses less digits than its factorization.

906632012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283560 (or 3283553 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 906632012520 in words is "nine hundred six billion, six hundred thirty-two million, twelve thousand, five hundred twenty".