86756040 has 192 divisors, whose sum is σ = 325728000. Its totient is φ = 19616256.

The previous prime is 86756039. The next prime is 86756053. The reversal of 86756040 is 4065768.

It is a happy number.

It is a super-2 number, since 2×86756040² = 15053220952963200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 86755986 and 86756004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 435861 + ... + 436059.

It is an arithmetic number, because the mean of its divisors is an integer number (1696500).

Almost surely, 2^86756040 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 86756040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162864000).

86756040 is an abundant number, since it is smaller than the sum of its proper divisors (238971960).

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

86756040 is a wasteful number, since it uses less digits than its factorization.

86756040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 86756040 is about 9314.2922436436. The cubic root of 86756040 is about 442.6901988063.

The spelling of 86756040 in words is "eighty-six million, seven hundred fifty-six thousand, forty".