91146240 has 288 divisors, whose sum is σ = 337296960. Its totient is φ = 22708224.

The previous prime is 91146233. The next prime is 91146247. The reversal of 91146240 is 4264119.

It is an interprime number because it is at equal distance from previous prime (91146233) and next prime (91146247).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×91146240² = 16615274132275200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91146247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119659 + ... + 2119701.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 2^91146240 is an apocalyptic number.

91146240 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 91146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

91146240 is an abundant number, since it is smaller than the sum of its proper divisors (246150720).

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

91146240 is a wasteful number, since it uses less digits than its factorization.

91146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 91146240 is about 9547.0539958670. The cubic root of 91146240 is about 450.0349602469.

The spelling of 91146240 in words is "ninety-one million, one hundred forty-six thousand, two hundred forty".