84646464 has 56 divisors (see below), whose sum is σ = 255958848. Its totient is φ = 24184320.

The previous prime is 84646439. The next prime is 84646469. The reversal of 84646464 is 46464648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84646469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30147 + ... + 32834.

Almost surely, 2^84646464 is an apocalyptic number.

84646464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84646464 is an abundant number, since it is smaller than the sum of its proper divisors (171312384).

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

84646464 is a wasteful number, since it uses less digits than its factorization.

84646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63003 (or 62993 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 84646464 is about 9200.3512976408. The cubic root of 84646464 is about 439.0725367589.

The spelling of 84646464 in words is "eighty-four million, six hundred forty-six thousand, four hundred sixty-four".