1235085880 has 128 divisors (see below), whose sum is σ = 3451392000. Its totient is φ = 388177920.

The previous prime is 1235085869. The next prime is 1235085893. The reversal of 1235085880 is 885805321.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 161176 + ... + 168664.

It is an arithmetic number, because the mean of its divisors is an integer number (26964000).

Almost surely, 2^1235085880 is an apocalyptic number.

1235085880 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 1235085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725696000).

1235085880 is an abundant number, since it is smaller than the sum of its proper divisors (2216306120).

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

1235085880 is a wasteful number, since it uses less digits than its factorization.

1235085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7557 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 1235085880 is about 35143.7886403842. The cubic root of 1235085880 is about 1072.9159928174.

The spelling of 1235085880 in words is "one billion, two hundred thirty-five million, eighty-five thousand, eight hundred eighty".