916020000 has 360 divisors, whose sum is σ = 3725257536. Its totient is φ = 209088000.

The previous prime is 916019983. The next prime is 916020029. The reversal of 916020000 is 20619.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259637 + ... + 1260363.

Almost surely, 2^916020000 is an apocalyptic number.

916020000 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 916020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862628768).

916020000 is an abundant number, since it is smaller than the sum of its proper divisors (2809237536).

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

916020000 is a wasteful number, since it uses less digits than its factorization.

916020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 916020000 is about 30265.8223083398. The cubic root of 916020000 is about 971.1842976182.

Adding to 916020000 its reverse (20619), we get a palindrome (916040619).

The spelling of 916020000 in words is "nine hundred sixteen million, twenty thousand".