1020153600 has 324 divisors, whose sum is σ = 3706794000. Its totient is φ = 267632640.

The previous prime is 1020153599. The next prime is 1020153613. The reversal of 1020153600 is 63510201.

1020153600 is a `hidden beast` number, since 10 + 2 + 0 + 1 + 53 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5126301 + ... + 5126499.

Almost surely, 2^1020153600 is an apocalyptic number.

1020153600 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 1020153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853397000).

1020153600 is an abundant number, since it is smaller than the sum of its proper divisors (2686640400).

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

1020153600 is a wasteful number, since it uses less digits than its factorization.

1020153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1020153600 is about 31939.8434560973. The cubic root of 1020153600 is about 1006.6732355365.

Adding to 1020153600 its reverse (63510201), we get a palindrome (1083663801).

The spelling of 1020153600 in words is "one billion, twenty million, one hundred fifty-three thousand, six hundred".