5435976 has 128 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1347840.

The previous prime is 5435959. The next prime is 5435987. The reversal of 5435976 is 6795345.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (113400) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41431 + ... + 41561.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

Almost surely, 2^5435976 is an apocalyptic number.

5435976 is a gapful number since it is divisible by the number (56) 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 5435976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

5435976 is an abundant number, since it is smaller than the sum of its proper divisors (12304824).

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

5435976 is a wasteful number, since it uses less digits than its factorization.

5435976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 5435976 is about 2331.5179604712. The cubic root of 5435976 is about 175.8298113792.

The spelling of 5435976 in words is "five million, four hundred thirty-five thousand, nine hundred seventy-six".