981295920 has 240 divisors, whose sum is σ = 3752116992. Its totient is φ = 227504640.

The previous prime is 981295919. The next prime is 981295921. The reversal of 981295920 is 29592189.

It is an interprime number because it is at equal distance from previous prime (981295919) and next prime (981295921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (981295921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179467 + ... + 184853.

Almost surely, 2^981295920 is an apocalyptic number.

981295920 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 981295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876058496).

981295920 is an abundant number, since it is smaller than the sum of its proper divisors (2770821072).

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

981295920 is a wasteful number, since it uses less digits than its factorization.

981295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 981295920 is about 31325.6431697739. The cubic root of 981295920 is about 993.7260262402.

The spelling of 981295920 in words is "nine hundred eighty-one million, two hundred ninety-five thousand, nine hundred twenty".