916769040 has 320 divisors, whose sum is σ = 3234650112. Its totient is φ = 212889600.

The previous prime is 916769027. The next prime is 916769059. The reversal of 916769040 is 40967619.

It is a junction number, because it is equal to n+sod(n) for n = 916768983 and 916769001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12558444 + ... + 12558516.

Almost surely, 2^916769040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617325056).

916769040 is an abundant number, since it is smaller than the sum of its proper divisors (2317881072).

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

916769040 is a wasteful number, since it uses less digits than its factorization.

916769040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 916769040 is about 30278.1941337326. The cubic root of 916769040 is about 971.4489416556.

The spelling of 916769040 in words is "nine hundred sixteen million, seven hundred sixty-nine thousand, forty".