1084112640 has 576 divisors, whose sum is σ = 4395417600. Its totient is φ = 250822656.

The previous prime is 1084112629. The next prime is 1084112651. The reversal of 1084112640 is 462114801.

It is a happy number.

1084112640 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1084112629) and next prime (1084112651).

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 8536257 + ... + 8536383.

Almost surely, 2^1084112640 is an apocalyptic number.

1084112640 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 1084112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197708800).

1084112640 is an abundant number, since it is smaller than the sum of its proper divisors (3311304960).

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

1084112640 is a wasteful number, since it uses less digits than its factorization.

1084112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1084112640 is about 32925.8658200510. The cubic root of 1084112640 is about 1027.2862361001.

The spelling of 1084112640 in words is "one billion, eighty-four million, one hundred twelve thousand, six hundred forty".