86477300 has 216 divisors, whose sum is σ = 251608896. Its totient is φ = 25159680.

The previous prime is 86477297. The next prime is 86477329. The reversal of 86477300 is 377468.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2011079 + ... + 2011121.

It is an arithmetic number, because the mean of its divisors is an integer number (1164856).

Almost surely, 2^86477300 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 86477300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125804448).

86477300 is an abundant number, since it is smaller than the sum of its proper divisors (165131596).

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

86477300 is a wasteful number, since it uses less digits than its factorization.

86477300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 86477300 is about 9299.3171792342. The cubic root of 86477300 is about 442.2155811099.

The spelling of 86477300 in words is "eighty-six million, four hundred seventy-seven thousand, three hundred".