1080614400 has 240 divisors, whose sum is σ = 3616804224. Its totient is φ = 284385280.

The previous prime is 1080614389. The next prime is 1080614407. The reversal of 1080614400 is 44160801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080614407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4108669 + ... + 4108931.

Almost surely, 2^1080614400 is an apocalyptic number.

1080614400 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 1080614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808402112).

1080614400 is an abundant number, since it is smaller than the sum of its proper divisors (2536189824).

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

1080614400 is a wasteful number, since it uses less digits than its factorization.

1080614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1080614400 is about 32872.6999195381. The cubic root of 1080614400 is about 1026.1800883871.

The spelling of 1080614400 in words is "one billion, eighty million, six hundred fourteen thousand, four hundred".