85411920 has 80 divisors (see below), whose sum is σ = 288856512. Its totient is φ = 20705280.

The previous prime is 85411919. The next prime is 85411933. The reversal of 85411920 is 2911458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13537 + ... + 18816.

Almost surely, 2^85411920 is an apocalyptic number.

85411920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85411920 is an abundant number, since it is smaller than the sum of its proper divisors (203444592).

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

85411920 is a wasteful number, since it uses less digits than its factorization.

85411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32380 (or 32374 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 85411920 is about 9241.8569562615. The cubic root of 85411920 is about 440.3920747691.

The spelling of 85411920 in words is "eighty-five million, four hundred eleven thousand, nine hundred twenty".