87614006400 has 240 divisors, whose sum is σ = 323315907090. Its totient is φ = 23363665920.

The previous prime is 87614006399. The next prime is 87614006429. The reversal of 87614006400 is 460041678.

87614006400 is a `hidden beast` number, since 8 + 7 + 6 + 1 + 4 + 0 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 81006267456 + 6607738944 = 284616^2 + 81288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 90192 + ... + 428208.

Almost surely, 2^87614006400 is an apocalyptic number.

87614006400 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 87614006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161657953545).

87614006400 is an abundant number, since it is smaller than the sum of its proper divisors (235701900690).

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

87614006400 is a wasteful number, since it uses less digits than its factorization.

87614006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338053 (or 338027 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 87614006400 in words is "eighty-seven billion, six hundred fourteen million, six thousand, four hundred".