91629252 has 192 divisors, whose sum is σ = 296352000. Its totient is φ = 24053760.

The previous prime is 91629233. The next prime is 91629253. The reversal of 91629252 is 25292619.

It is a happy number.

91629252 is a `hidden beast` number, since 9 + 1 + 629 + 25 + 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 (91629253) by changing a digit.

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, 262374 + ... + 262722.

It is an arithmetic number, because the mean of its divisors is an integer number (1543500).

Almost surely, 2^91629252 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 91629252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

91629252 is an abundant number, since it is smaller than the sum of its proper divisors (204722748).

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

91629252 is a wasteful number, since it uses less digits than its factorization.

91629252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

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

The square root of 91629252 is about 9572.3169609035. The cubic root of 91629252 is about 450.8285180811.

It can be divided in two parts, 9 and 1629252, that added together give a palindrome (1629261).

The spelling of 91629252 in words is "ninety-one million, six hundred twenty-nine thousand, two hundred fifty-two".