90973440 has 216 divisors, whose sum is σ = 322849800. Its totient is φ = 23642112.

The previous prime is 90973439. The next prime is 90973451. The reversal of 90973440 is 4437909.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 86713344 = 2064^2 + 9312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 90973395 and 90973404.

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, 610486 + ... + 610634.

It is an arithmetic number, because the mean of its divisors is an integer number (1494675).

Almost surely, 2^90973440 is an apocalyptic number.

90973440 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 90973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161424900).

90973440 is an abundant number, since it is smaller than the sum of its proper divisors (231876360).

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

90973440 is a wasteful number, since it uses less digits than its factorization.

90973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90973440 is about 9537.9997903124. Note that the first 3 decimals coincide. The cubic root of 90973440 is about 449.7503800772.

It can be divided in two parts, 90 and 973440, that multiplied together give a square (87609600 = 9360²).

The spelling of 90973440 in words is "ninety million, nine hundred seventy-three thousand, four hundred forty".