820915746 has 16 divisors (see below), whose sum is σ = 1876378944. Its totient is φ = 234547344.

The previous prime is 820915699. The next prime is 820915757. The reversal of 820915746 is 647519028.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 19545613 = 820915746 / (8 + 2 + 0 + 9 + 1 + 5 + 7 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 820915698 and 820915707.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9772765 + ... + 9772848.

It is an arithmetic number, because the mean of its divisors is an integer number (117273684).

Almost surely, 2^820915746 is an apocalyptic number.

820915746 is an abundant number, since it is smaller than the sum of its proper divisors (1055463198).

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

820915746 is a wasteful number, since it uses less digits than its factorization.

820915746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19545625.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 820915746 is about 28651.6272836291. The cubic root of 820915746 is about 936.3384592144.

The spelling of 820915746 in words is "eight hundred twenty million, nine hundred fifteen thousand, seven hundred forty-six".