91410400 has 72 divisors (see below), whose sum is σ = 224844984. Its totient is φ = 36288000.

The previous prime is 91410383. The next prime is 91410427. The reversal of 91410400 is 401419.

It is a super-2 number, since 2×91410400² = 16711722456320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130050 + ... + 130750.

It is an arithmetic number, because the mean of its divisors is an integer number (3122847).

Almost surely, 2^91410400 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 91410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112422492).

91410400 is an abundant number, since it is smaller than the sum of its proper divisors (133434584).

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

91410400 is a wasteful number, since it uses less digits than its factorization.

91410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 91410400 is about 9560.8786207126. The cubic root of 91410400 is about 450.4693046311.

Adding to 91410400 its reverse (401419), we get a palindrome (91811819).

The spelling of 91410400 in words is "ninety-one million, four hundred ten thousand, four hundred".