84789264 has 80 divisors (see below), whose sum is σ = 252428288. Its totient is φ = 24022656.

The previous prime is 84789253. The next prime is 84789361. The reversal of 84789264 is 46298748.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41679 + ... + 43665.

Almost surely, 2^84789264 is an apocalyptic number.

84789264 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 84789264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126214144).

84789264 is an abundant number, since it is smaller than the sum of its proper divisors (167639024).

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

84789264 is a wasteful number, since it uses less digits than its factorization.

84789264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2126 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 84789264 is about 9208.1086005759. The cubic root of 84789264 is about 439.3193056133.

The spelling of 84789264 in words is "eighty-four million, seven hundred eighty-nine thousand, two hundred sixty-four".