91616400 has 240 divisors, whose sum is σ = 345960000. Its totient is φ = 22947840.

The previous prime is 91616389. The next prime is 91616407. The reversal of 91616400 is 461619.

91616400 is a `hidden beast` number, since 9 + 1 + 616 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (91616407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183351 + ... + 183849.

It is an arithmetic number, because the mean of its divisors is an integer number (1441500).

Almost surely, 2^91616400 is an apocalyptic number.

91616400 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 91616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980000).

91616400 is an abundant number, since it is smaller than the sum of its proper divisors (254343600).

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

91616400 is a wasteful number, since it uses less digits than its factorization.

91616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 91616400 is about 9571.6456265367. The cubic root of 91616400 is about 450.8074392266.

The spelling of 91616400 in words is "ninety-one million, six hundred sixteen thousand, four hundred".