120527082 has 96 divisors (see below), whose sum is σ = 297250560. Its totient is φ = 36167040.

The previous prime is 120527081. The next prime is 120527083. The reversal of 120527082 is 280725021.

It is an interprime number because it is at equal distance from previous prime (120527081) and next prime (120527083).

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

It is not an unprimeable number, because it can be changed into a prime (120527081) 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, 428782 + ... + 429062.

It is an arithmetic number, because the mean of its divisors is an integer number (3096360).

Almost surely, 2^120527082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120527082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148625280).

120527082 is an abundant number, since it is smaller than the sum of its proper divisors (176723478).

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

120527082 is a wasteful number, since it uses less digits than its factorization.

120527082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120527082 is about 10978.4826820467. The cubic root of 120527082 is about 493.9635245460.

The spelling of 120527082 in words is "one hundred twenty million, five hundred twenty-seven thousand, eighty-two".