84732480 has 280 divisors, whose sum is σ = 345204288. Its totient is φ = 19325952.

The previous prime is 84732451. The next prime is 84732481. The reversal of 84732480 is 8423748.

It is a tau number, because it is divible by the number of its divisors (280).

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 (84732481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181207 + ... + 181673.

Almost surely, 2^84732480 is an apocalyptic number.

84732480 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 84732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172602144).

84732480 is an abundant number, since it is smaller than the sum of its proper divisors (260471808).

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

84732480 is a wasteful number, since it uses less digits than its factorization.

84732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84732480 is about 9205.0247147957. The cubic root of 84732480 is about 439.2212119111.

The spelling of 84732480 in words is "eighty-four million, seven hundred thirty-two thousand, four hundred eighty".