910725120 has 364 divisors, whose sum is σ = 3330427836. Its totient is φ = 238878720.

The previous prime is 910725113. The next prime is 910725131. The reversal of 910725120 is 21527019.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 764411904 = 12096^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14929890 + ... + 14929950.

Almost surely, 2^910725120 is an apocalyptic number.

910725120 is a gapful number since it is divisible by the number (90) 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 910725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665213918).

910725120 is an abundant number, since it is smaller than the sum of its proper divisors (2419702716).

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

910725120 is an frugal number, since it uses more digits than its factorization.

910725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 910725120 is about 30178.2226116781. Note that the first 3 decimals coincide. The cubic root of 910725120 is about 969.3094316062.

The spelling of 910725120 in words is "nine hundred ten million, seven hundred twenty-five thousand, one hundred twenty".