90649152 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 25920000.

The previous prime is 90649147. The next prime is 90649159. The reversal of 90649152 is 25194609.

90649152 = T₁₁₃ + T₁₁₄ + ... + T₈₁₆.

90649152 is a `hidden beast` number, since 9 + 0 + 649 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90649159) 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, 361027 + ... + 361277.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^90649152 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 90649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

90649152 is an abundant number, since it is smaller than the sum of its proper divisors (216589248).

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

90649152 is a wasteful number, since it uses less digits than its factorization.

90649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 90649152 is about 9520.9848230107. The cubic root of 90649152 is about 449.2153437164.

The spelling of 90649152 in words is "ninety million, six hundred forty-nine thousand, one hundred fifty-two".