90338976 has 240 divisors, whose sum is σ = 327849984. Its totient is φ = 23763456.

The previous prime is 90338959. The next prime is 90339013. The reversal of 90338976 is 67983309.

It is a happy number.

It is a super-2 number, since 2×90338976² = 16322261169457152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235681 + ... + 236063.

Almost surely, 2^90338976 is an apocalyptic number.

90338976 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 90338976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

90338976 is an abundant number, since it is smaller than the sum of its proper divisors (237511008).

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

90338976 is a wasteful number, since it uses less digits than its factorization.

90338976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 90338976 is about 9504.6817937267. The cubic root of 90338976 is about 448.7023952005.

The spelling of 90338976 in words is "ninety million, three hundred thirty-eight thousand, nine hundred seventy-six".