91384020 has 216 divisors, whose sum is σ = 347694984. Its totient is φ = 19256832.

The previous prime is 91384009. The next prime is 91384057. The reversal of 91384020 is 2048319.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 90098064 = 1134^2 + 9492^2 .

It is a super-2 number, since 2×91384020² = 16702078222720800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114262 + ... + 115058.

It is an arithmetic number, because the mean of its divisors is an integer number (1609699).

Almost surely, 2^91384020 is an apocalyptic number.

91384020 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 91384020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847492).

91384020 is an abundant number, since it is smaller than the sum of its proper divisors (256310964).

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

91384020 is a wasteful number, since it uses less digits than its factorization.

91384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 91384020 is about 9559.4989408441. The cubic root of 91384020 is about 450.4259670256.

The spelling of 91384020 in words is "ninety-one million, three hundred eighty-four thousand, twenty".