1025618880 has 448 divisors, whose sum is σ = 3965423616. Its totient is φ = 221184000.

The previous prime is 1025618831. The next prime is 1025618887. The reversal of 1025618880 is 888165201.

It is a super-3 number, since 3×1025618880³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025618887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255560 + ... + 4255800.

It is an arithmetic number, because the mean of its divisors is an integer number (8851392).

Almost surely, 2^1025618880 is an apocalyptic number.

1025618880 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 1025618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982711808).

1025618880 is an abundant number, since it is smaller than the sum of its proper divisors (2939804736).

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

1025618880 is a wasteful number, since it uses less digits than its factorization.

1025618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1025618880 is about 32025.2850104414. The cubic root of 1025618880 is about 1008.4677219663.

The spelling of 1025618880 in words is "one billion, twenty-five million, six hundred eighteen thousand, eight hundred eighty".