123813690 has 384 divisors, whose sum is σ = 441262080. Its totient is φ = 21772800.

The previous prime is 123813661. The next prime is 123813719. The reversal of 123813690 is 96318321.

It is an interprime number because it is at equal distance from previous prime (123813661) and next prime (123813719).

It is a super-2 number, since 2×123813690² = 30659659662832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3993975 + ... + 3994005.

It is an arithmetic number, because the mean of its divisors is an integer number (1149120).

Almost surely, 2^123813690 is an apocalyptic number.

123813690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123813690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

123813690 is an abundant number, since it is smaller than the sum of its proper divisors (317448390).

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

123813690 is a wasteful number, since it uses less digits than its factorization.

123813690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 123813690 is about 11127.1600150263. The cubic root of 123813690 is about 498.4132229375.

The spelling of 123813690 in words is "one hundred twenty-three million, eight hundred thirteen thousand, six hundred ninety".