1032151680 has 768 divisors, whose sum is σ = 4520966400. Its totient is φ = 221405184.

The previous prime is 1032151633. The next prime is 1032151711. The reversal of 1032151680 is 861512301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19474534 + ... + 19474586.

It is an arithmetic number, because the mean of its divisors is an integer number (5886675).

Almost surely, 2^1032151680 is an apocalyptic number.

1032151680 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 1032151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260483200).

1032151680 is an abundant number, since it is smaller than the sum of its proper divisors (3488814720).

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

1032151680 is a wasteful number, since it uses less digits than its factorization.

1032151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1032151680 is about 32127.1175177606. The cubic root of 1032151680 is about 1010.6043763712.

Adding to 1032151680 its reverse (861512301), we get a palindrome (1893663981).

It can be divided in two parts, 10321 and 51680, that added together give a square (62001 = 249²).

The spelling of 1032151680 in words is "one billion, thirty-two million, one hundred fifty-one thousand, six hundred eighty".