90943776 has 192 divisors, whose sum is σ = 330946560. Its totient is φ = 23604480.

The previous prime is 90943763. The next prime is 90943777. The reversal of 90943776 is 67734909.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90943777) 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, 65845 + ... + 67211.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^90943776 is an apocalyptic number.

90943776 is a gapful number since it is divisible by the number (96) 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 90943776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

90943776 is an abundant number, since it is smaller than the sum of its proper divisors (240002784).

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

90943776 is a wasteful number, since it uses less digits than its factorization.

90943776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 90943776 is about 9536.4446205072. Note that the first 3 decimals coincide. The cubic root of 90943776 is about 449.7014909156.

It can be divided in two parts, 90943 and 776, that added together give a palindrome (91719).

The spelling of 90943776 in words is "ninety million, nine hundred forty-three thousand, seven hundred seventy-six".