1532661400 has 96 divisors (see below), whose sum is σ = 3639767040. Its totient is φ = 600082560.

The previous prime is 1532661343. The next prime is 1532661409. The reversal of 1532661400 is 41662351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532661409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2107837 + ... + 2108563.

It is an arithmetic number, because the mean of its divisors is an integer number (37914240).

Almost surely, 2^1532661400 is an apocalyptic number.

1532661400 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 1532661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

1532661400 is an abundant number, since it is smaller than the sum of its proper divisors (2107105640).

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

1532661400 is a wasteful number, since it uses less digits than its factorization.

1532661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 1532661400 is about 39149.2196601669. The cubic root of 1532661400 is about 1152.9630959545.

The spelling of 1532661400 in words is "one billion, five hundred thirty-two million, six hundred sixty-one thousand, four hundred".