90761440 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 27555840.

The previous prime is 90761431. The next prime is 90761449. The reversal of 90761440 is 4416709.

It is an interprime number because it is at equal distance from previous prime (90761431) and next prime (90761449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90761449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652891 + ... + 653029.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^90761440 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 90761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

90761440 is an abundant number, since it is smaller than the sum of its proper divisors (183575840).

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

90761440 is a wasteful number, since it uses less digits than its factorization.

90761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90761440 is about 9526.8798669869. The cubic root of 90761440 is about 449.4007496772.

The spelling of 90761440 in words is "ninety million, seven hundred sixty-one thousand, four hundred forty".