91954440 has 160 divisors (see below), whose sum is σ = 313239960. Its totient is φ = 24192000.

The previous prime is 91954439. The next prime is 91954441. The reversal of 91954440 is 4445919.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (91954439) and next prime (91954441).

It can be written as a sum of positive squares in 4 ways, for example, as 91355364 + 599076 = 9558^2 + 774^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 91954395 and 91954404.

It is not an unprimeable number, because it can be changed into a prime (91954441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 327100 + ... + 327380.

Almost surely, 2^91954440 is an apocalyptic number.

91954440 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 91954440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156619980).

91954440 is an abundant number, since it is smaller than the sum of its proper divisors (221285520).

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

91954440 is a wasteful number, since it uses less digits than its factorization.

91954440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 91954440 is about 9589.2877733438. The cubic root of 91954440 is about 451.3612116325.

The spelling of 91954440 in words is "ninety-one million, nine hundred fifty-four thousand, four hundred forty".