91429380 has 144 divisors (see below), whose sum is σ = 319737600. Its totient is φ = 20715264.

The previous prime is 91429379. The next prime is 91429391. The reversal of 91429380 is 8392419.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 187497 + ... + 187983.

It is an arithmetic number, because the mean of its divisors is an integer number (2220400).

Almost surely, 2^91429380 is an apocalyptic number.

91429380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91429380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

91429380 is an abundant number, since it is smaller than the sum of its proper divisors (228308220).

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

91429380 is a wasteful number, since it uses less digits than its factorization.

91429380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 91429380 is about 9561.8711557937. The cubic root of 91429380 is about 450.5004802075.

It can be divided in two parts, 91429 and 380, that added together give a square (91809 = 303²).

The spelling of 91429380 in words is "ninety-one million, four hundred twenty-nine thousand, three hundred eighty".