90396000 has 336 divisors, whose sum is σ = 343744128. Its totient is φ = 23328000.

The previous prime is 90395983. The next prime is 90396001. The reversal of 90396000 is 69309.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90396001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915985 + ... + 2916015.

It is an arithmetic number, because the mean of its divisors is an integer number (1023048).

Almost surely, 2^90396000 is an apocalyptic number.

90396000 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 90396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171872064).

90396000 is an abundant number, since it is smaller than the sum of its proper divisors (253348128).

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

90396000 is an equidigital number, since it uses as much as digits as its factorization.

90396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 90396000 is about 9507.6811052959. The cubic root of 90396000 is about 448.7967857015.

The spelling of 90396000 in words is "ninety million, three hundred ninety-six thousand".