1157546820 has 48 divisors (see below), whose sum is σ = 3345689088. Its totient is φ = 298721280.

The previous prime is 1157546807. The next prime is 1157546821. The reversal of 1157546820 is 286457511.

It is a super-2 number, since 2×1157546820² = 2679829280984224800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1157546821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309309 + ... + 313028.

It is an arithmetic number, because the mean of its divisors is an integer number (69701856).

Almost surely, 2^1157546820 is an apocalyptic number.

1157546820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157546820 is an abundant number, since it is smaller than the sum of its proper divisors (2188142268).

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

1157546820 is a wasteful number, since it uses less digits than its factorization.

1157546820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622380 (or 622378 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 1157546820 is about 34022.7397485858. The cubic root of 1157546820 is about 1049.9763622797.

The spelling of 1157546820 in words is "one billion, one hundred fifty-seven million, five hundred forty-six thousand, eight hundred twenty".