86462640 has 200 divisors, whose sum is σ = 327867408. Its totient is φ = 20943360.

The previous prime is 86462611. The next prime is 86462669. The reversal of 86462640 is 4626468.

It is a happy number.

86462640 is a `hidden beast` number, since 8 + 6 + 4 + 6 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (86462611) and next prime (86462669).

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 = 86462595 and 86462604.

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 39 ways as a sum of consecutive naturals, for example, 70674 + ... + 71886.

Almost surely, 2^86462640 is an apocalyptic number.

86462640 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 86462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163933704).

86462640 is an abundant number, since it is smaller than the sum of its proper divisors (241404768).

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

86462640 is a wasteful number, since it uses less digits than its factorization.

86462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 86462640 is about 9298.5289159092. The cubic root of 86462640 is about 442.1905909418.

It can be divided in two parts, 864 and 62640, that added together give a square (63504 = 252²).

The spelling of 86462640 in words is "eighty-six million, four hundred sixty-two thousand, six hundred forty".