1532960 has 96 divisors (see below), whose sum is σ = 4318272. Its totient is φ = 506880.

The previous prime is 1532957. The next prime is 1532963. The reversal of 1532960 is 692351.

It is an interprime number because it is at equal distance from previous prime (1532957) and next prime (1532963).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532963) 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, 22847 + ... + 22913.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2^1532960 is an apocalyptic number.

1532960 is a gapful number since it is divisible by the number (10) 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 1532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136).

1532960 is an abundant number, since it is smaller than the sum of its proper divisors (2785312).

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

1532960 is a wasteful number, since it uses less digits than its factorization.

1532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 1532960 is about 1238.1276186242. The cubic root of 1532960 is about 115.3037966248.

It can be divided in two parts, 153 and 2960, that added together give a palindrome (3113).

The spelling of 1532960 in words is "one million, five hundred thirty-two thousand, nine hundred sixty".