90634752 has 240 divisors, whose sum is σ = 301621320. Its totient is φ = 25952256.

The previous prime is 90634727. The next prime is 90634757. The reversal of 90634752 is 25743609.

It can be written as a sum of positive squares in 4 ways, for example, as 61214976 + 29419776 = 7824^2 + 5424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90634757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018324 + ... + 1018412.

Almost surely, 2^90634752 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 90634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150810660).

90634752 is an abundant number, since it is smaller than the sum of its proper divisors (210986568).

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

90634752 is a wasteful number, since it uses less digits than its factorization.

90634752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

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

The square root of 90634752 is about 9520.2285686847. The cubic root of 90634752 is about 449.1915558729.

The spelling of 90634752 in words is "ninety million, six hundred thirty-four thousand, seven hundred fifty-two".