90054832 has 80 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 36115200.

The previous prime is 90054823. The next prime is 90054841. The reversal of 90054832 is 23845009.

It is an interprime number because it is at equal distance from previous prime (90054823) and next prime (90054841).

It is a junction number, because it is equal to n+sod(n) for n = 90054794 and 90054803.

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 15 ways as a sum of consecutive naturals, for example, 214719 + ... + 215137.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^90054832 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 90054832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

90054832 is an abundant number, since it is smaller than the sum of its proper divisors (122431568).

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

90054832 is a wasteful number, since it uses less digits than its factorization.

90054832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 90054832 is about 9489.7224406196. The cubic root of 90054832 is about 448.2314652112.

The spelling of 90054832 in words is "ninety million, fifty-four thousand, eight hundred thirty-two".