90672320 has 56 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 35379200.

The previous prime is 90672319. The next prime is 90672331. The reversal of 90672320 is 2327609.

It is a super-4 number, since 4×90672320⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 9665 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2^90672320 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 90672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

90672320 is an abundant number, since it is smaller than the sum of its proper divisors (130539328).

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

90672320 is a wasteful number, since it uses less digits than its factorization.

90672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6959 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 90672320 is about 9522.2014261409. The cubic root of 90672320 is about 449.2536104269.

Adding to 90672320 its reverse (2327609), we get a palindrome (92999929).

The spelling of 90672320 in words is "ninety million, six hundred seventy-two thousand, three hundred twenty".