85129380 has 120 divisors (see below), whose sum is σ = 305245248. Its totient is φ = 19455552.

The previous prime is 85129351. The next prime is 85129391. The reversal of 85129380 is 8392158.

It is a super-2 number, since 2×85129380² = 14494022678368800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7587 + ... + 15093.

Almost surely, 2^85129380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85129380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152622624).

85129380 is an abundant number, since it is smaller than the sum of its proper divisors (220115868).

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

85129380 is a wasteful number, since it uses less digits than its factorization.

85129380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85129380 is about 9226.5584049525. The cubic root of 85129380 is about 439.9059371930.

The spelling of 85129380 in words is "eighty-five million, one hundred twenty-nine thousand, three hundred eighty".