1086258432 has 288 divisors, whose sum is σ = 3499589632. Its totient is φ = 292626432.

The previous prime is 1086258413. The next prime is 1086258461. The reversal of 1086258432 is 2348526801.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8553153 + ... + 8553279.

Almost surely, 2^1086258432 is an apocalyptic number.

1086258432 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 1086258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749794816).

1086258432 is an abundant number, since it is smaller than the sum of its proper divisors (2413331200).

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

1086258432 is a wasteful number, since it uses less digits than its factorization.

1086258432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1086258432 is about 32958.4349142977. The cubic root of 1086258432 is about 1027.9635611141.

The spelling of 1086258432 in words is "one billion, eighty-six million, two hundred fifty-eight thousand, four hundred thirty-two".