90472416 has 48 divisors (see below), whose sum is σ = 240181200. Its totient is φ = 29815808.

The previous prime is 90472391. The next prime is 90472423. The reversal of 90472416 is 61427409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 13838.

It is an arithmetic number, because the mean of its divisors is an integer number (5003775).

Almost surely, 2^90472416 is an apocalyptic number.

90472416 is a gapful number since it is divisible by the number (96) 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 90472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120090600).

90472416 is an abundant number, since it is smaller than the sum of its proper divisors (149708784).

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

90472416 is a wasteful number, since it uses less digits than its factorization.

90472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 90472416 is about 9511.6989018787. The cubic root of 90472416 is about 448.9232131095.

The spelling of 90472416 in words is "ninety million, four hundred seventy-two thousand, four hundred sixteen".