84274080 has 144 divisors (see below), whose sum is σ = 291991392. Its totient is φ = 20416000.

The previous prime is 84274079. The next prime is 84274103. The reversal of 84274080 is 8047248.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57355 + ... + 58805.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 2^84274080 is an apocalyptic number.

84274080 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 84274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145995696).

84274080 is an abundant number, since it is smaller than the sum of its proper divisors (207717312).

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

84274080 is a wasteful number, since it uses less digits than its factorization.

84274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 84274080 is about 9180.0915028119. The cubic root of 84274080 is about 438.4277217095.

The spelling of 84274080 in words is "eighty-four million, two hundred seventy-four thousand, eighty".