91893648 has 240 divisors, whose sum is σ = 315979776. Its totient is φ = 22344960.

The previous prime is 91893647. The next prime is 91893673. The reversal of 91893648 is 84639819.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 91893597 and 91893606.

It is not an unprimeable number, because it can be changed into a prime (91893643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955161 + ... + 1955207.

Almost surely, 2^91893648 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 91893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157989888).

91893648 is an abundant number, since it is smaller than the sum of its proper divisors (224086128).

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

91893648 is a wasteful number, since it uses less digits than its factorization.

91893648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 91893648 is about 9586.1174622472. The cubic root of 91893648 is about 451.2617232345.

The spelling of 91893648 in words is "ninety-one million, eight hundred ninety-three thousand, six hundred forty-eight".