920506086630 has 192 divisors, whose sum is σ = 2800591073280. Its totient is φ = 207735840000.

The previous prime is 920506086629. The next prime is 920506086659. The reversal of 920506086630 is 36680605029.

It is a happy number.

920506086630 is a `hidden beast` number, since 9 + 2 + 0 + 5 + 0 + 6 + 0 + 8 + 6 + 630 = 666.

It is a super-3 number, since 3×920506086630³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21255 + ... + 1357005.

It is an arithmetic number, because the mean of its divisors is an integer number (14586411840).

Almost surely, 2^920506086630 is an apocalyptic number.

920506086630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 920506086630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400295536640).

920506086630 is an abundant number, since it is smaller than the sum of its proper divisors (1880084986650).

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

920506086630 is a wasteful number, since it uses less digits than its factorization.

920506086630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335827 (or 1335824 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 920506086630 in words is "nine hundred twenty billion, five hundred six million, eighty-six thousand, six hundred thirty".