1952256 has 80 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 614400.

The previous prime is 1952227. The next prime is 1952257. The reversal of 1952256 is 6522591.

It is a happy number.

It is a super-2 number, since 2×1952256² = 7622606979072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1952257) 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, 47596 + ... + 47636.

2^1952256 is an apocalyptic number.

1952256 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 1952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

1952256 is an abundant number, since it is smaller than the sum of its proper divisors (3547392).

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

1952256 is an equidigital number, since it uses as much as digits as its factorization.

1952256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 1952256 is about 1397.2315484557. The cubic root of 1952256 is about 124.9814585832.

The spelling of 1952256 in words is "one million, nine hundred fifty-two thousand, two hundred fifty-six".