157620 has 48 divisors (see below), whose sum is σ = 459648. Its totient is φ = 40320.

The previous prime is 157579. The next prime is 157627. The reversal of 157620 is 26751.

157620 = T₇₅ + T₇₆ + ... + T₁₁₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157627) by changing a digit.

157620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁵⁷⁶²⁰ is an apocalyptic number.

157620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

157620 is an abundant number, since it is smaller than the sum of its proper divisors (302028).

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

157620 is a wasteful number, since it uses less digits than its factorization.

157620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 157620 is about 397.0138536626. The cubic root of 157620 is about 54.0178267618.

Adding to 157620 its sum of digits (21), we get a triangular number (157641 = T₅₆₁).

It can be divided in two parts, 1576 and 20, that added together give a triangular number (1596 = T₅₆).

The spelling of 157620 in words is "one hundred fifty-seven thousand, six hundred twenty".