5111964 has 96 divisors (see below), whose sum is σ = 15617280. Its totient is φ = 1425600.

The previous prime is 5111963. The next prime is 5111999. The reversal of 5111964 is 4691115.

It is a super-2 number, since 2×5111964² = 52264351874592, which contains 22 as substring.

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

Its product of digits (1080) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5111963) 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, 15279 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (162680).

Almost surely, 2^5111964 is an apocalyptic number.

5111964 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 5111964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808640).

5111964 is an abundant number, since it is smaller than the sum of its proper divisors (10505316).

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

5111964 is a wasteful number, since it uses less digits than its factorization.

5111964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 5111964 is about 2260.9652805826. The cubic root of 5111964 is about 172.2645559168.

The spelling of 5111964 in words is "five million, one hundred eleven thousand, nine hundred sixty-four".