5415984 has 120 divisors (see below), whose sum is σ = 18054400. Its totient is φ = 1539648.

The previous prime is 5415983. The next prime is 5415997. The reversal of 5415984 is 4895145.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5415983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27117 + ... + 27315.

Almost surely, 2^5415984 is an apocalyptic number.

5415984 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 5415984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027200).

5415984 is an abundant number, since it is smaller than the sum of its proper divisors (12638416).

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

5415984 is a wasteful number, since it uses less digits than its factorization.

5415984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 5415984 is about 2327.2266756807. The cubic root of 5415984 is about 175.6139956294.

The spelling of 5415984 in words is "five million, four hundred fifteen thousand, nine hundred eighty-four".