84579040 has 192 divisors, whose sum is σ = 254185344. Its totient is φ = 25878528.

The previous prime is 84579017. The next prime is 84579049. The reversal of 84579040 is 4097548.

It is a super-2 number, since 2×84579040² = 14307228014643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84579049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538642 + ... + 538798.

It is an arithmetic number, because the mean of its divisors is an integer number (1323882).

Almost surely, 2^84579040 is an apocalyptic number.

84579040 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 84579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127092672).

84579040 is an abundant number, since it is smaller than the sum of its proper divisors (169606304).

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

84579040 is a wasteful number, since it uses less digits than its factorization.

84579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 84579040 is about 9196.6863597711. The cubic root of 84579040 is about 438.9559266883.

The spelling of 84579040 in words is "eighty-four million, five hundred seventy-nine thousand, forty".