918029970 has 384 divisors, whose sum is σ = 3035750400. Its totient is φ = 195436800.

The previous prime is 918029963. The next prime is 918029993. The reversal of 918029970 is 79920819.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15559801 + ... + 15559859.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2^918029970 is an apocalyptic number.

918029970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 918029970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517875200).

918029970 is an abundant number, since it is smaller than the sum of its proper divisors (2117720430).

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

918029970 is a wasteful number, since it uses less digits than its factorization.

918029970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 918029970 is about 30299.0093897474. The cubic root of 918029970 is about 971.8941166479.

The spelling of 918029970 in words is "nine hundred eighteen million, twenty-nine thousand, nine hundred seventy".