85763550 has 48 divisors (see below), whose sum is σ = 221950080. Its totient is φ = 21875040.

The previous prime is 85763533. The next prime is 85763567. The reversal of 85763550 is 5536758.

It is an interprime number because it is at equal distance from previous prime (85763533) and next prime (85763567).

It is a junction number, because it is equal to n+sod(n) for n = 85763499 and 85763508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8980 + ... + 15879.

It is an arithmetic number, because the mean of its divisors is an integer number (4623960).

Almost surely, 2^85763550 is an apocalyptic number.

85763550 is an abundant number, since it is smaller than the sum of its proper divisors (136186530).

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

85763550 is a wasteful number, since it uses less digits than its factorization.

85763550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24897 (or 24892 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 85763550 is about 9260.8611910556. The cubic root of 85763550 is about 440.9955933558.

The spelling of 85763550 in words is "eighty-five million, seven hundred sixty-three thousand, five hundred fifty".