90350988 has 192 divisors, whose sum is σ = 285401088. Its totient is φ = 21565440.

The previous prime is 90350977. The next prime is 90350989. The reversal of 90350988 is 88905309.

It is a super-2 number, since 2×90350988² = 16326602065152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90350989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575406 + ... + 575562.

It is an arithmetic number, because the mean of its divisors is an integer number (1486464).

Almost surely, 2^90350988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90350988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142700544).

90350988 is an abundant number, since it is smaller than the sum of its proper divisors (195050100).

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

90350988 is a wasteful number, since it uses less digits than its factorization.

90350988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 90350988 is about 9505.3136718364. The cubic root of 90350988 is about 448.7222816863.

The spelling of 90350988 in words is "ninety million, three hundred fifty thousand, nine hundred eighty-eight".