91011600 has 225 divisors, whose sum is σ = 332912503. Its totient is φ = 23811840.

The previous prime is 91011593. The next prime is 91011611. The reversal of 91011600 is 611019.

The square root of 91011600 is 9540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 90326016 = 828^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×91011600² = 16566222669120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1717174 + ... + 1717226.

Almost surely, 2^91011600 is an apocalyptic number.

91011600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

91011600 is the 9540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91011600

91011600 is an abundant number, since it is smaller than the sum of its proper divisors (241900903).

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

91011600 is a wasteful number, since it uses less digits than its factorization.

91011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The cubic root of 91011600 is about 449.8132558477.

Adding to 91011600 its reverse (611019), we get a palindrome (91622619).

It can be divided in two parts, 9101 and 1600, that added together give a palindrome (10701).

The spelling of 91011600 in words is "ninety-one million, eleven thousand, six hundred".