86694480 has 90 divisors (see below), whose sum is σ = 291990426. Its totient is φ = 23051904.

The previous prime is 86694469. The next prime is 86694497. The reversal of 86694480 is 8449668.

It is a happy number.

86694480 is a `hidden beast` number, since 86 + 6 + 94 + 480 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69355584 + 17338896 = 8328^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 249667 + ... + 250013.

Almost surely, 2^86694480 is an apocalyptic number.

86694480 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 86694480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995213).

86694480 is an abundant number, since it is smaller than the sum of its proper divisors (205295946).

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

86694480 is a wasteful number, since it uses less digits than its factorization.

86694480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86694480 is about 9310.9870583091. The cubic root of 86694480 is about 442.5854665902.

Multiplying 86694480 by its sum of digits (45), we get a square (3901251600 = 62460²).

86694480 divided by its sum of digits (45) gives a square (1926544 = 1388²).

The spelling of 86694480 in words is "eighty-six million, six hundred ninety-four thousand, four hundred eighty".