84773136 has 160 divisors (see below), whose sum is σ = 269824000. Its totient is φ = 22861440.

The previous prime is 84773131. The next prime is 84773149. The reversal of 84773136 is 63137748.

84773136 = T₁₁₃ + T₁₁₄ + ... + T₇₉₈.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 84773094 and 84773103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84773131) 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, 312681 + ... + 312951.

It is an arithmetic number, because the mean of its divisors is an integer number (1686400).

Almost surely, 2^84773136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84773136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134912000).

84773136 is an abundant number, since it is smaller than the sum of its proper divisors (185050864).

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

84773136 is a wasteful number, since it uses less digits than its factorization.

84773136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 84773136 is about 9207.2328090475. The cubic root of 84773136 is about 439.2914491343.

The spelling of 84773136 in words is "eighty-four million, seven hundred seventy-three thousand, one hundred thirty-six".