1032649920 has 168 divisors, whose sum is σ = 3565209024. Its totient is φ = 274341888.

The previous prime is 1032649889. The next prime is 1032649931. The reversal of 1032649920 is 299462301.

1032649920 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 649 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056472 + ... + 1057448.

Almost surely, 2^1032649920 is an apocalyptic number.

1032649920 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 1032649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782604512).

1032649920 is an abundant number, since it is smaller than the sum of its proper divisors (2532559104).

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

1032649920 is a wasteful number, since it uses less digits than its factorization.

1032649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1032649920 is about 32134.8707792641. The cubic root of 1032649920 is about 1010.7669631097.

The spelling of 1032649920 in words is "one billion, thirty-two million, six hundred forty-nine thousand, nine hundred twenty".