91576980 has 168 divisors, whose sum is σ = 315098784. Its totient is φ = 22161600.

The previous prime is 91576949. The next prime is 91576987. The reversal of 91576980 is 8967519.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91576987) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 160095 + ... + 160665.

It is an arithmetic number, because the mean of its divisors is an integer number (1875588).

Almost surely, 2^91576980 is an apocalyptic number.

91576980 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 91576980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157549392).

91576980 is an abundant number, since it is smaller than the sum of its proper divisors (223521804).

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

91576980 is a wasteful number, since it uses less digits than its factorization.

91576980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 91576980 is about 9569.5861979503. The cubic root of 91576980 is about 450.7427732984.

It can be divided in two parts, 915769 and 80, that added together give a square (915849 = 957²).

The spelling of 91576980 in words is "ninety-one million, five hundred seventy-six thousand, nine hundred eighty".