83470464 has 192 divisors, whose sum is σ = 299782080. Its totient is φ = 21657600.

The previous prime is 83470451. The next prime is 83470469. The reversal of 83470464 is 46407438.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (83470469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88234 + ... + 89174.

It is an arithmetic number, because the mean of its divisors is an integer number (1561365).

Almost surely, 2^83470464 is an apocalyptic number.

83470464 is a gapful number since it is divisible by the number (84) 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 83470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149891040).

83470464 is an abundant number, since it is smaller than the sum of its proper divisors (216311616).

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

83470464 is a wasteful number, since it uses less digits than its factorization.

83470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 83470464 is about 9136.2171602912. The cubic root of 83470464 is about 437.0296904110.

The spelling of 83470464 in words is "eighty-three million, four hundred seventy thousand, four hundred sixty-four".