91953540 has 288 divisors, whose sum is σ = 352235520. Its totient is φ = 18931968.

The previous prime is 91953523. The next prime is 91953593. The reversal of 91953540 is 4535919.

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 = 91953495 and 91953504.

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 95 ways as a sum of consecutive naturals, for example, 550537 + ... + 550703.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^91953540 is an apocalyptic number.

91953540 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 91953540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

91953540 is an abundant number, since it is smaller than the sum of its proper divisors (260281980).

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

91953540 is a wasteful number, since it uses less digits than its factorization.

91953540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 91953540 is about 9589.2408458647. The cubic root of 91953540 is about 451.3597390684.

The spelling of 91953540 in words is "ninety-one million, nine hundred fifty-three thousand, five hundred forty".