193415040 has 640 divisors, whose sum is σ = 870851520. Its totient is φ = 39813120.

The previous prime is 193415023. The next prime is 193415063. The reversal of 193415040 is 40514391.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 193414995 and 193415013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717420 + ... + 4717460.

Almost surely, 2^193415040 is an apocalyptic number.

193415040 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 193415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435425760).

193415040 is an abundant number, since it is smaller than the sum of its proper divisors (677436480).

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

193415040 is a wasteful number, since it uses less digits than its factorization.

193415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 193415040 is about 13907.3735838224. The cubic root of 193415040 is about 578.3136111745.

The spelling of 193415040 in words is "one hundred ninety-three million, four hundred fifteen thousand, forty".