91434816 has 84 divisors (see below), whose sum is σ = 285926784. Its totient is φ = 27705600.

The previous prime is 91434803. The next prime is 91434829. The reversal of 91434816 is 61843419.

It is an interprime number because it is at equal distance from previous prime (91434803) and next prime (91434829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 880 + ... + 13551.

Almost surely, 2^91434816 is an apocalyptic number.

91434816 is a gapful number since it is divisible by the number (96) 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 91434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142963392).

91434816 is an abundant number, since it is smaller than the sum of its proper divisors (194491968).

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

91434816 is a wasteful number, since it uses less digits than its factorization.

91434816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460 (or 14447 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 91434816 is about 9562.1554055558. The cubic root of 91434816 is about 450.5094083080.

The spelling of 91434816 in words is "ninety-one million, four hundred thirty-four thousand, eight hundred sixteen".