90067152 has 80 divisors (see below), whose sum is σ = 274522112. Its totient is φ = 24900480.

The previous prime is 90067151. The next prime is 90067157. The reversal of 90067152 is 25176009.

It is a super-2 number, since 2×90067152² = 16224183738782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90067151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093 + ... + 14739.

Almost surely, 2^90067152 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 90067152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137261056).

90067152 is an abundant number, since it is smaller than the sum of its proper divisors (184454960).

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

90067152 is a wasteful number, since it uses less digits than its factorization.

90067152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8696 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 90067152 is about 9490.3715417259. The cubic root of 90067152 is about 448.2519044619.

The spelling of 90067152 in words is "ninety million, sixty-seven thousand, one hundred fifty-two".