90329148 has 216 divisors, whose sum is σ = 297909360. Its totient is φ = 23587200.

The previous prime is 90329137. The next prime is 90329179. The reversal of 90329148 is 84192309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 894298 + ... + 894398.

It is an arithmetic number, because the mean of its divisors is an integer number (1379210).

Almost surely, 2^90329148 is an apocalyptic number.

90329148 is a gapful number since it is divisible by the number (98) 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 90329148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148954680).

90329148 is an abundant number, since it is smaller than the sum of its proper divisors (207580212).

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

90329148 is a wasteful number, since it uses less digits than its factorization.

90329148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90329148 is about 9504.1647712989. The cubic root of 90329148 is about 448.6861231281.

The spelling of 90329148 in words is "ninety million, three hundred twenty-nine thousand, one hundred forty-eight".