1032567480 has 256 divisors, whose sum is σ = 3989606400. Its totient is φ = 232657920.

The previous prime is 1032567479. The next prime is 1032567517. The reversal of 1032567480 is 847652301.

1032567480 is a `hidden beast` number, since 10 + 3 + 2 + 567 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 550945 + ... + 552815.

It is an arithmetic number, because the mean of its divisors is an integer number (15584400).

Almost surely, 2^1032567480 is an apocalyptic number.

1032567480 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 1032567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994803200).

1032567480 is an abundant number, since it is smaller than the sum of its proper divisors (2957038920).

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

1032567480 is a wasteful number, since it uses less digits than its factorization.

1032567480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1032567480 is about 32133.5880349518. The cubic root of 1032567480 is about 1010.7400647245.

The spelling of 1032567480 in words is "one billion, thirty-two million, five hundred sixty-seven thousand, four hundred eighty".