90653472 has 192 divisors, whose sum is σ = 325704960. Its totient is φ = 23887872.

The previous prime is 90653471. The next prime is 90653473. The reversal of 90653472 is 27435609.

It is an interprime number because it is at equal distance from previous prime (90653471) and next prime (90653473).

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 (90653471) 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, 78048 + ... + 79200.

It is an arithmetic number, because the mean of its divisors is an integer number (1696380).

Almost surely, 2^90653472 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 90653472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162852480).

90653472 is an abundant number, since it is smaller than the sum of its proper divisors (235051488).

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

90653472 is a wasteful number, since it uses less digits than its factorization.

90653472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 90653472 is about 9521.2116875952. The cubic root of 90653472 is about 449.2224795782. Note that the first 3 decimals are identical.

90653472 divided by its sum of digits (36) gives a palindrome (2518152).

It can be divided in two parts, 90653 and 472, that added together give a cube (91125 = 45³).

The spelling of 90653472 in words is "ninety million, six hundred fifty-three thousand, four hundred seventy-two".