91874160 has 120 divisors (see below), whose sum is σ = 352641120. Its totient is φ = 20998656.

The previous prime is 91874119. The next prime is 91874183. The reversal of 91874160 is 6147819.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×91874160² = 16881722551411200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4075 + ... + 14154.

It is an arithmetic number, because the mean of its divisors is an integer number (2938676).

Almost surely, 2^91874160 is an apocalyptic number.

91874160 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 91874160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176320560).

91874160 is an abundant number, since it is smaller than the sum of its proper divisors (260766960).

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

91874160 is a wasteful number, since it uses less digits than its factorization.

91874160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18255 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 91874160 is about 9585.1009384357. The cubic root of 91874160 is about 451.2298211013.

It can be divided in two parts, 918 and 74160, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 91874160 in words is "ninety-one million, eight hundred seventy-four thousand, one hundred sixty".