856101402 has 192 divisors, whose sum is σ = 2253756960. Its totient is φ = 232243200.

The previous prime is 856101401. The next prime is 856101439. The reversal of 856101402 is 204101658.

856101402 is a `hidden beast` number, since 8 + 5 + 610 + 1 + 40 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 58660281 + 797441121 = 7659^2 + 28239^2 .

It is a super-2 number, since 2×856101402² = 1465819221012731208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856101401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4729752 + ... + 4729932.

Almost surely, 2^856101402 is an apocalyptic number.

856101402 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 856101402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126878480).

856101402 is an abundant number, since it is smaller than the sum of its proper divisors (1397655558).

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

856101402 is a wasteful number, since it uses less digits than its factorization.

856101402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 856101402 is about 29259.2105498422. The cubic root of 856101402 is about 949.5293705824.

The spelling of 856101402 in words is "eight hundred fifty-six million, one hundred one thousand, four hundred two".