1601952 has 96 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 460800.

The previous prime is 1601869. The next prime is 1601953. The reversal of 1601952 is 2591061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1601952³ = 12333028970690740224, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1601953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39052 + ... + 39092.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^1601952 is an apocalyptic number.

1601952 is a gapful number since it is divisible by the number (12) 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 1601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1601952 is an abundant number, since it is smaller than the sum of its proper divisors (3224352).

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

1601952 is a wasteful number, since it uses less digits than its factorization.

1601952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1601952 is about 1265.6824246232. The cubic root of 1601952 is about 117.0082542208.

It can be divided in two parts, 160 and 1952, that added together give a palindrome (2112).

The spelling of 1601952 in words is "one million, six hundred one thousand, nine hundred fifty-two".