840892416 has 272 divisors, whose sum is σ = 2818550784. Its totient is φ = 217055232.

The previous prime is 840892399. The next prime is 840892421. The reversal of 840892416 is 614298048.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17891305 + ... + 17891351.

Almost surely, 2^840892416 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 840892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409275392).

840892416 is an abundant number, since it is smaller than the sum of its proper divisors (1977658368).

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

840892416 is an equidigital number, since it uses as much as digits as its factorization.

840892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 840892416 is about 28998.1450441231. The cubic root of 840892416 is about 943.8728163425.

The spelling of 840892416 in words is "eight hundred forty million, eight hundred ninety-two thousand, four hundred sixteen".