84264000 has 112 divisors (see below), whose sum is σ = 278318976. Its totient is φ = 22464000.

The previous prime is 84263969. The next prime is 84264001. The reversal of 84264000 is 46248.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (84264001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22245 + ... + 25755.

Almost surely, 2^84264000 is an apocalyptic number.

84264000 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 84264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139159488).

84264000 is an abundant number, since it is smaller than the sum of its proper divisors (194054976).

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

84264000 is a wasteful number, since it uses less digits than its factorization.

84264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84264000 is about 9179.5424722586. The cubic root of 84264000 is about 438.4102409386.

The spelling of 84264000 in words is "eighty-four million, two hundred sixty-four thousand".