80526960 has 300 divisors, whose sum is σ = 304011048. Its totient is φ = 19740672.

The previous prime is 80526949. The next prime is 80526967. The reversal of 80526960 is 6962508.

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 (80526967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1872699 + ... + 1872741.

Almost surely, 2^80526960 is an apocalyptic number.

80526960 is a gapful number since it is divisible by the number (80) 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 80526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152005524).

80526960 is an abundant number, since it is smaller than the sum of its proper divisors (223484088).

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

80526960 is a wasteful number, since it uses less digits than its factorization.

80526960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80526960 is about 8973.6815187525. The cubic root of 80526960 is about 431.8309523765.

The spelling of 80526960 in words is "eighty million, five hundred twenty-six thousand, nine hundred sixty".