862349040 has 180 divisors, whose sum is σ = 3369018744. Its totient is φ = 197100288.

The previous prime is 862349039. The next prime is 862349053. The reversal of 862349040 is 40943268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 862348986 and 862349004.

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, 23059 + ... + 47501.

Almost surely, 2^862349040 is an apocalyptic number.

862349040 is a gapful number since it is divisible by the number (80) 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 862349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684509372).

862349040 is an abundant number, since it is smaller than the sum of its proper divisors (2506669704).

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

862349040 is a wasteful number, since it uses less digits than its factorization.

862349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24476 (or 24460 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 862349040 is about 29365.7800849901. The cubic root of 862349040 is about 951.8335925980.

The spelling of 862349040 in words is "eight hundred sixty-two million, three hundred forty-nine thousand, forty".