1004689152 has 108 divisors (see below), whose sum is σ = 2964425464. Its totient is φ = 327075840.

The previous prime is 1004689129. The next prime is 1004689177. The reversal of 1004689152 is 2519864001.

1004689152 is a `hidden beast` number, since 100 + 468 + 91 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 94002 + ... + 104142.

Almost surely, 2^1004689152 is an apocalyptic number.

1004689152 is a gapful number since it is divisible by the number (12) 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 1004689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482212732).

1004689152 is an abundant number, since it is smaller than the sum of its proper divisors (1959736312).

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

1004689152 is a wasteful number, since it uses less digits than its factorization.

1004689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1004689152 is about 31696.8318921623. The cubic root of 1004689152 is about 1001.5606138840.

The spelling of 1004689152 in words is "one billion, four million, six hundred eighty-nine thousand, one hundred fifty-two".