90574000 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 31328000.

The previous prime is 90573991. The next prime is 90574009. The reversal of 90574000 is 47509.

It is an interprime number because it is at equal distance from previous prime (90573991) and next prime (90574009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (90574009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 505911 + ... + 506089.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^90574000 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 90574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

90574000 is an abundant number, since it is smaller than the sum of its proper divisors (160124240).

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

90574000 is a wasteful number, since it uses less digits than its factorization.

90574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 90574000 is about 9517.0373541350. The cubic root of 90574000 is about 449.0911698571.

The spelling of 90574000 in words is "ninety million, five hundred seventy-four thousand".