90776952 has 192 divisors, whose sum is σ = 301916160. Its totient is φ = 24076800.

The previous prime is 90776951. The next prime is 90776963. The reversal of 90776952 is 25967709.

It is a junction number, because it is equal to n+sod(n) for n = 90776898 and 90776907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90776951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475177 + ... + 475367.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^90776952 is an apocalyptic number.

90776952 is a gapful number since it is divisible by the number (92) 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 90776952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

90776952 is an abundant number, since it is smaller than the sum of its proper divisors (211139208).

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

90776952 is a wasteful number, since it uses less digits than its factorization.

90776952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 90776952 is about 9527.6939497446. The cubic root of 90776952 is about 449.4263505173.

The spelling of 90776952 in words is "ninety million, seven hundred seventy-six thousand, nine hundred fifty-two".