1157615220 has 48 divisors (see below), whose sum is σ = 3250997568. Its totient is φ = 307776000.

The previous prime is 1157615191. The next prime is 1157615227. The reversal of 1157615220 is 225167511.

1157615220 = T₂₂₄ + T₂₂₅ + ... + T₁₉₀₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157615227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8406 + ... + 48845.

It is an arithmetic number, because the mean of its divisors is an integer number (67729116).

Almost surely, 2^1157615220 is an apocalyptic number.

1157615220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157615220 is an abundant number, since it is smaller than the sum of its proper divisors (2093382348).

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

1157615220 is a wasteful number, since it uses less digits than its factorization.

1157615220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57600 (or 57598 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 1157615220 is about 34023.7449437889. The cubic root of 1157615220 is about 1049.9970430756.

It can be divided in two parts, 11576 and 15220, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 1157615220 in words is "one billion, one hundred fifty-seven million, six hundred fifteen thousand, two hundred twenty".