1086054480 has 480 divisors, whose sum is σ = 4523710464. Its totient is φ = 236763648.

The previous prime is 1086054461. The next prime is 1086054509. The reversal of 1086054480 is 844506801.

1086054480 is a `hidden beast` number, since 1 + 0 + 8 + 605 + 4 + 48 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 95 ways as a sum of consecutive naturals, for example, 3129667 + ... + 3130013.

Almost surely, 2^1086054480 is an apocalyptic number.

1086054480 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 1086054480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261855232).

1086054480 is an abundant number, since it is smaller than the sum of its proper divisors (3437655984).

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

1086054480 is a wasteful number, since it uses less digits than its factorization.

1086054480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1086054480 is about 32955.3406900915. The cubic root of 1086054480 is about 1027.8992214994.

The spelling of 1086054480 in words is "one billion, eighty-six million, fifty-four thousand, four hundred eighty".