91889460 has 144 divisors (see below), whose sum is σ = 303803136. Its totient is φ = 22346496.

The previous prime is 91889459. The next prime is 91889461. The reversal of 91889460 is 6498819.

91889460 is a `hidden beast` number, since 9 + 188 + 9 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (91889459) and next prime (91889461).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91889461) 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, 250197 + ... + 250563.

It is an arithmetic number, because the mean of its divisors is an integer number (2109744).

Almost surely, 2^91889460 is an apocalyptic number.

91889460 is a gapful number since it is divisible by the number (90) 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 91889460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

91889460 is an abundant number, since it is smaller than the sum of its proper divisors (211913676).

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

91889460 is a wasteful number, since it uses less digits than its factorization.

91889460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 91889460 is about 9585.8990188714. The cubic root of 91889460 is about 451.2548677994.

The spelling of 91889460 in words is "ninety-one million, eight hundred eighty-nine thousand, four hundred sixty".