90122760 has 384 divisors, whose sum is σ = 379209600. Its totient is φ = 18869760.

The previous prime is 90122707. The next prime is 90122761. The reversal of 90122760 is 6722109.

It is a super-2 number, since 2×90122760² = 16244223740035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90122761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 687895 + ... + 688025.

It is an arithmetic number, because the mean of its divisors is an integer number (987525).

Almost surely, 2^90122760 is an apocalyptic number.

90122760 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 90122760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

90122760 is an abundant number, since it is smaller than the sum of its proper divisors (289086840).

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

90122760 is a wasteful number, since it uses less digits than its factorization.

90122760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90122760 is about 9493.3007958244. The cubic root of 90122760 is about 448.3441366213.

Adding to 90122760 its reverse (6722109), we get a palindrome (96844869).

The spelling of 90122760 in words is "ninety million, one hundred twenty-two thousand, seven hundred sixty".