91869120 has 448 divisors, whose sum is σ = 390144000. Its totient is φ = 20321280.

The previous prime is 91869119. The next prime is 91869143. The reversal of 91869120 is 2196819.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2963505 + ... + 2963535.

Almost surely, 2^91869120 is an apocalyptic number.

91869120 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 91869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195072000).

91869120 is an abundant number, since it is smaller than the sum of its proper divisors (298274880).

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

91869120 is a wasteful number, since it uses less digits than its factorization.

91869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 91869120 is about 9584.8380268005. The cubic root of 91869120 is about 451.2215698154.

The spelling of 91869120 in words is "ninety-one million, eight hundred sixty-nine thousand, one hundred twenty".