90329040 has 320 divisors, whose sum is σ = 342835200. Its totient is φ = 21772800.

The previous prime is 90329039. The next prime is 90329053. The reversal of 90329040 is 4092309.

It is a super-3 number, since 3×90329040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90328995 and 90329013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272205 + ... + 1272275.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^90329040 is an apocalyptic number.

90329040 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 90329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

90329040 is an abundant number, since it is smaller than the sum of its proper divisors (252506160).

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

90329040 is a wasteful number, since it uses less digits than its factorization.

90329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90329040 is about 9504.1590895776. The cubic root of 90329040 is about 448.6859443076.

The spelling of 90329040 in words is "ninety million, three hundred twenty-nine thousand, forty".