91863936 has 128 divisors (see below), whose sum is σ = 285600000. Its totient is φ = 28988928.

The previous prime is 91863923. The next prime is 91863973. The reversal of 91863936 is 63936819.

91863936 is a `hidden beast` number, since 9 + 1 + 8 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 91863891 and 91863900.

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, 64965 + ... + 66363.

It is an arithmetic number, because the mean of its divisors is an integer number (2231250).

Almost surely, 2^91863936 is an apocalyptic number.

91863936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800000).

91863936 is an abundant number, since it is smaller than the sum of its proper divisors (193736064).

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

91863936 is a wasteful number, since it uses less digits than its factorization.

91863936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1423 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 91863936 is about 9584.5675958804. The cubic root of 91863936 is about 451.2130824636.

The spelling of 91863936 in words is "ninety-one million, eight hundred sixty-three thousand, nine hundred thirty-six".