91960000 has 210 divisors, whose sum is σ = 263837420. Its totient is φ = 31680000.

The previous prime is 91959983. The next prime is 91960009. The reversal of 91960000 is 6919.

It is a super-3 number, since 3×91960000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (91960009) 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 29 ways as a sum of consecutive naturals, for example, 4839991 + ... + 4840009.

Almost surely, 2^91960000 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 91960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131918710).

91960000 is an abundant number, since it is smaller than the sum of its proper divisors (171877420).

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

91960000 is a wasteful number, since it uses less digits than its factorization.

91960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 91960000 is about 9589.5776757895. The cubic root of 91960000 is about 451.3703085931.

Adding to 91960000 its reverse (6919), we get a palindrome (91966919).

It can be divided in two parts, 9 and 1960000, that multiplied together give a square (17640000 = 4200²).

The spelling of 91960000 in words is "ninety-one million, nine hundred sixty thousand".