91820652 has 96 divisors (see below), whose sum is σ = 273444864. Its totient is φ = 23284800.

The previous prime is 91820647. The next prime is 91820653. The reversal of 91820652 is 25602819.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (91820653) 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 31 ways as a sum of consecutive naturals, for example, 38577 + ... + 40887.

It is an arithmetic number, because the mean of its divisors is an integer number (2848384).

Almost surely, 2^91820652 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 91820652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136722432).

91820652 is an abundant number, since it is smaller than the sum of its proper divisors (181624212).

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

91820652 is a wasteful number, since it uses less digits than its factorization.

91820652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 91820652 is about 9582.3093250009. The cubic root of 91820652 is about 451.1422045394.

The spelling of 91820652 in words is "ninety-one million, eight hundred twenty thousand, six hundred fifty-two".