5010984 has 160 divisors (see below), whose sum is σ = 16552800. Its totient is φ = 1399680.

The previous prime is 5010977. The next prime is 5011001. The reversal of 5010984 is 4890105.

5010984 = T₁₇₇ + T₁₇₈ + ... + T₃₂₈.

5010984 = 82³ + 83³ + ... + 89³.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135414 + ... + 135450.

It is an arithmetic number, because the mean of its divisors is an integer number (103455).

Almost surely, 2^5010984 is an apocalyptic number.

5010984 is a gapful number since it is divisible by the number (54) 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 5010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276400).

5010984 is an abundant number, since it is smaller than the sum of its proper divisors (11541816).

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

5010984 is a wasteful number, since it uses less digits than its factorization.

5010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5010984 is about 2238.5227271574. The cubic root of 5010984 is about 171.1227189267.

The spelling of 5010984 in words is "five million, ten thousand, nine hundred eighty-four".