120083634 has 80 divisors (see below), whose sum is σ = 297601920. Its totient is φ = 35886240.

The previous prime is 120083633. The next prime is 120083641. The reversal of 120083634 is 436380021.

It is a happy number.

120083634 is a `hidden beast` number, since 1 + 20 + 0 + 8 + 3 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120083598 and 120083607.

It is not an unprimeable number, because it can be changed into a prime (120083633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140352 + ... + 141204.

It is an arithmetic number, because the mean of its divisors is an integer number (3720024).

Almost surely, 2^120083634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120083634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800960).

120083634 is an abundant number, since it is smaller than the sum of its proper divisors (177518286).

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

120083634 is a wasteful number, since it uses less digits than its factorization.

120083634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 120083634 is about 10958.2678375736. The cubic root of 120083634 is about 493.3569766893.

The spelling of 120083634 in words is "one hundred twenty million, eighty-three thousand, six hundred thirty-four".