90357630 has 64 divisors (see below), whose sum is σ = 239003136. Its totient is φ = 21680000.

The previous prime is 90357613. The next prime is 90357661. The reversal of 90357630 is 3675309.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90357591 and 90357600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31975 + ... + 34685.

It is an arithmetic number, because the mean of its divisors is an integer number (3734424).

Almost surely, 2^90357630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90357630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119501568).

90357630 is an abundant number, since it is smaller than the sum of its proper divisors (148645506).

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

90357630 is a wasteful number, since it uses less digits than its factorization.

90357630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833.

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 90357630 is about 9505.6630489409. The cubic root of 90357630 is about 448.7332771033.

The spelling of 90357630 in words is "ninety million, three hundred fifty-seven thousand, six hundred thirty".