91461600 has 108 divisors (see below), whose sum is σ = 322541856. Its totient is φ = 24387840.

The previous prime is 91461599. The next prime is 91461613. The reversal of 91461600 is 616419.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 849 + ... + 13551.

Almost surely, 2^91461600 is an apocalyptic number.

91461600 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 91461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161270928).

91461600 is an abundant number, since it is smaller than the sum of its proper divisors (231080256).

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

91461600 is a wasteful number, since it uses less digits than its factorization.

91461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12729 (or 12713 counting only the distinct ones).

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

The square root of 91461600 is about 9563.5558240646. Note that the first 3 decimals coincide. The cubic root of 91461600 is about 450.5533932527.

The spelling of 91461600 in words is "ninety-one million, four hundred sixty-one thousand, six hundred".