1621152 has 72 divisors (see below), whose sum is σ = 4976244. Its totient is φ = 497664.

The previous prime is 1621141. The next prime is 1621153. The reversal of 1621152 is 2511261.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 266256 = 1164^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1621153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3528 + ... + 3960.

2^1621152 is an apocalyptic number.

1621152 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 1621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488122).

1621152 is an abundant number, since it is smaller than the sum of its proper divisors (3355092).

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

1621152 is a wasteful number, since it uses less digits than its factorization.

1621152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1621152 is about 1273.2446740513. The cubic root of 1621152 is about 117.4738616976.

It can be divided in two parts, 162 and 1152, that multiplied together give a square (186624 = 432²).

The spelling of 1621152 in words is "one million, six hundred twenty-one thousand, one hundred fifty-two".