90066600 has 192 divisors, whose sum is σ = 334353600. Its totient is φ = 22152960.

The previous prime is 90066577. The next prime is 90066637. The reversal of 90066600 is 666009.

It is a super-2 number, since 2×90066600² = 16223984871120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69559 + ... + 70841.

It is an arithmetic number, because the mean of its divisors is an integer number (1741425).

Almost surely, 2^90066600 is an apocalyptic number.

90066600 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 90066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167176800).

90066600 is an abundant number, since it is smaller than the sum of its proper divisors (244287000).

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

90066600 is a wasteful number, since it uses less digits than its factorization.

90066600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90066600 is about 9490.3424595744. The cubic root of 90066600 is about 448.2509887171.

The spelling of 90066600 in words is "ninety million, sixty-six thousand, six hundred".