90129600 has 252 divisors, whose sum is σ = 350078040. Its totient is φ = 21811200.

The previous prime is 90129583. The next prime is 90129607. The reversal of 90129600 is 692109.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (90129607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158116 + ... + 158684.

Almost surely, 2^90129600 is an apocalyptic number.

90129600 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 90129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175039020).

90129600 is an abundant number, since it is smaller than the sum of its proper divisors (259948440).

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

90129600 is a wasteful number, since it uses less digits than its factorization.

90129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90129600 is about 9493.6610430329. The cubic root of 90129600 is about 448.3554789145.

The spelling of 90129600 in words is "ninety million, one hundred twenty-nine thousand, six hundred".