91963040 has 144 divisors (see below), whose sum is σ = 249026400. Its totient is φ = 31988736.

The previous prime is 91963009. The next prime is 91963043. The reversal of 91963040 is 4036919.

91963040 = 483² + 484² + ... + 729².

It is a super-3 number, since 3×91963040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 91962988 and 91963006.

It is not an unprimeable number, because it can be changed into a prime (91963043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513671 + ... + 513849.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 2^91963040 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 91963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124513200).

91963040 is an abundant number, since it is smaller than the sum of its proper divisors (157063360).

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

91963040 is a wasteful number, since it uses less digits than its factorization.

91963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 91963040 is about 9589.7361798957. The cubic root of 91963040 is about 451.3752823158.

Adding to 91963040 its reverse (4036919), we get a palindrome (95999959).

The spelling of 91963040 in words is "ninety-one million, nine hundred sixty-three thousand, forty".