120578085 has 64 divisors (see below), whose sum is σ = 233568000. Its totient is φ = 58786560.

The previous prime is 120578071. The next prime is 120578099. The reversal of 120578085 is 580875021.

120578085 = T₈₈ + T₈₉ + ... + T₈₉₇.

120578085 is a `hidden beast` number, since 1 + 2 + 0 + 578 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (120578071) and next prime (120578099).

It is not a de Polignac number, because 120578085 - 2⁴ = 120578069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73575 + ... + 75195.

It is an arithmetic number, because the mean of its divisors is an integer number (3649500).

Almost surely, 2^120578085 is an apocalyptic number.

120578085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120578085 is a deficient number, since it is larger than the sum of its proper divisors (112989915).

120578085 is a wasteful number, since it uses less digits than its factorization.

120578085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 120578085 is about 10980.8052983376. The cubic root of 120578085 is about 494.0331909600.

The spelling of 120578085 in words is "one hundred twenty million, five hundred seventy-eight thousand, eighty-five".