1952416 has 48 divisors (see below), whose sum is σ = 4223016. Its totient is φ = 884736.

The previous prime is 1952413. The next prime is 1952437. The reversal of 1952416 is 6142591.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 3600 = 1396^2 + 60^2 .

It is not an unprimeable number, because it can be changed into a prime (1952413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20080 + ... + 20176.

2^1952416 is an apocalyptic number.

1952416 is a gapful number since it is divisible by the number (16) 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 1952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111508).

1952416 is an abundant number, since it is smaller than the sum of its proper divisors (2270600).

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

1952416 is a wasteful number, since it uses less digits than its factorization.

1952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 1952416 is about 1397.2888033617. The cubic root of 1952416 is about 124.9848728361.

The spelling of 1952416 in words is "one million, nine hundred fifty-two thousand, four hundred sixteen".