85803480 has 192 divisors, whose sum is σ = 323481600. Its totient is φ = 19319040.

The previous prime is 85803479. The next prime is 85803517. The reversal of 85803480 is 8430858.

It is a super-2 number, since 2×85803480² = 14724474360220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198865 + ... + 199295.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^85803480 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 85803480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

85803480 is an abundant number, since it is smaller than the sum of its proper divisors (237678120).

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

85803480 is a wasteful number, since it uses less digits than its factorization.

85803480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85803480 is about 9263.0167872028. The cubic root of 85803480 is about 441.0640226670.

The spelling of 85803480 in words is "eighty-five million, eight hundred three thousand, four hundred eighty".